# Identify Critical Points

### Topic Page

Identify Critical Points### Questions

- How do I find the y-intercept of a parabola?
- How do I find the x-intercepts of a parabola?
- How can I tell whether a parabola opens upward or downward?
- How can I tell whether a horizontal parabola opens to the left or the right?
- How do I find all the critical points of #f(x)=x^2+4x-2#?
- How to find the vertex of the parabola #y^2+2y-2x+5=0#?
- What is the focus of the parabola #(x – 1)^2 + 32 = 8y#?
- What is the focus of the parabola #x=y^2 + 4#?
- What is the focus of the parabola #(y-9)^2 = -8(x+5)#?
- What is the focus of the parabola #x-4y^2+16y-19=0#?
- What is the focus of the parabola that has a vertex at (0, 0) and that passes through the points (–3, 3) and (3, 3)?
- What is the focus of the parabola #(x − 5)^2 = −4(y + 2)#?
- What is the focus of the parabola #y=1/8(x^2−4x−12)#?
- What is the focus of the parabola #x + 5(y - 3)^2 = 6#?
- What is the focus of the parabola #y^2+6y+8x+25 = 0#?
- How do you find the vertex, directrix and focus of #y=-(1/4)x^2+2x-5#?
- How do you find the vertex, directrix and focus of #x^2+4x+4y+16=0#?
- How do you find the vertex, directrix and focus of #y + 12x - 2x^2 = 16#?
- How do you find the vertex, directrix and focus of #y= -3(x+1)^2 - 4#?
- How do you write an equation with vertex at (0,0) and focus at (0,4)?
- How do you find the vertex, focus and directrix of #y^2+2y+12x+25=0#?
- How do you find the vertex, focus and directrix of #y^2=-8x#?
- How do you find the vertex, focus and directrix of #y^2+x+y=0#?
- How do you find the vertex, focus and directrix of #y= 1/16(x-2)^2+3.75#?
- How do you find the vertex, focus and directrix of #x^2-2x+8y+9=0#?
- How do you find the focus, vertex, and directrix of #x^2=32y#?
- How do you find the focus, vertex, and directrix of #y^2=-28x#?
- How do you find the focus, vertex, and directrix of #x^2+10x+4y+33=0#?
- How do you find the focus, vertex, and directrix of #x^2 -6x -36y +225=0#?
- How do you find the focus, vertex, and directrix of #x = -6y^2#?
- How do you find the focus, vertex, and directrix of #y^2=-4x#?
- How do you find the focus, vertex, and directrix of #y^2+4x-4y-8=0#?
- How do you find the focus, vertex, and directrix of #x = 3(y – 1)^2 + 2#?
- How do you find the focus, vertex, and directrix of #x=1/4y^2+2y-2#?
- How do you find the vertex, focus and directrix of #x^2-2x+8y+9=0#?
- How do you find the vertex, focus and directrix of #4x-y^2-2y-33=0#?
- How do you find the vertex, focus and directrix of #x+y^2=0#?
- How do you find the vertex, focus and directrix of #y^2-2y-2x+5=0#?
- How do you find the vertex, focus and directrix of #y^2+4y+3x-4=0#?
- How do you find the vertex, focus and directrix of #2y^2+8=x+8y#?
- How do you find the vertex, focus and directrix of #y-2=(-1/8)(x+2)^2#?
- How do you find the vertex, focus and directrix of #y^2 + 6y + 8x - 7 = 0#?
- How do you find the vertex, focus and directrix of #( y - 2)^2 = 4(x - 1)#?
- How do you find the vertex, focus and directrix of #(x+3)^2=16(y-2)#?
- How do you find the vertex, focus and directrix of #y^2+6y+12x+33=0#?
- How do you find the vertex, focus and directrix of #y+12x-2x^2=15#?
- How do you find the vertex, focus and directrix of #4x^2 + 6x -y + 2 = 0#?
- How do you find the vertex, focus and directrix of # (x - 1)^2 = 8y - 16#?
- How do you find the vertex, focus and directrix of #x^2 - 8x - 16y + 16 = 0#?
- How do you find the vertex, focus and directrix of # x=1/24y^2#?
- How do you find the vertex, focus and directrix of #x^2-10x-8y+33=0#?
- How do you find the vertex, focus and directrix of #y^2+4y+8x-12=0#?
- How do you find the vertex, focus and directrix of #y^2 = 16x#?
- How do you find the vertex, focus and directrix of #x^2 = 12y #?
- How do you find the vertex, focus and directrix of #x+y^2=0#?
- How do you find the vertex, focus and directrix of #x = y^2 - 6y + 11#?
- How do you find the vertex, focus and directrix of #4y=x^2+4#?
- How do you find the vertex, focus and directrix of #x^2 = 28y#?
- How do you find the vertex, focus and directrix of #16(y+3)^2 = (x - 2)#?
- How do you find the vertex, focus and directrix of #x =-1/2(y-2)^2-4#?
- How do you find the vertex, focus and directrix of # (x + 0.5)^2 = 4(y - 1)#?
- How do you find the vertex, focus and directrix of #2(x-3)^2=6y+72#?
- How do you find the vertex, focus and directrix of #4x-y^2-2y-33=0#?
- How do you find the vertex, focus and directrix of #y - 2 = -1/8 (x+2)^2#?
- How do you find the vertex, focus and directrix of # x^2 + 6x + 8y + 25 = 0 #?
- How do you find the vertex, focus and directrix of #x^2 - 2x + 44y + 353 = 0 #?
- How do you find the vertex, focus and directrix of #-48x = y^2 #?
- How do you find the vertex, focus and directrix of # y^2 = 4(x+3y)#?
- How do you find the vertex, focus and directrix of # x^2-4x+y+3=0#?
- How do you find the vertex, focus and directrix of # x^2 + 6y = 0#?
- How do you find the vertex, focus and directrix of #y^2+10y-20x+37=0#?
- What is the equation of the directrix and the focus of the parabola #y^2+4x-4y-8=0#?
- How do you write an equation for the parabola with focus (-4,0) and directrix x=6?
- How do you find the vertex, the focus, and the directrix of the parabola #x^2 + 10x +8y +17 = 0#?
- How do you find the vertex, the focus, and the directrix of the parabola #x^2 -8x -28y -124=0#?
- How do you find the vertex, the focus, and the directrix of the parabola #y^2=4x#?
- How do you find the equation of the parabola described with Vertex at (2, -3); focus at (2, -5)?
- How do you find focus of a parabola #x=y^2 + 4#?
- How do you find a function whose graph is a parabola with vertex (-2,2) and that passes through the point (1,-4)?
- How do you Find the vertex, Focus, and directrix of the Parabola and sketch its graph #(x-3) + (y-2)^2=0#?
- How do you find the focus and directrix of #x^2 = 2y#?
- Question #54c16
- How do you identify the vertex, focus, directrix and the length of the latus rectum and graph #3(y-3)=(x+6)^2#?
- How do you identify the vertex, focus, directrix and the length of the latus rectum and graph #4(x-2)=(y+3)^2#?
- How do you identify the vertex, focus, directrix and the length of the latus rectum and graph #y=x^2-12x+20#?
- How do you identify the vertex, focus, directrix and the length of the latus rectum and graph #x=y^2-14y+25#?
- How do you identify the vertex, focus, directrix and the length of the latus rectum and graph #y=1/2x^2-3x+19/2#?
- How do you identify the vertex, focus, directrix and the length of the latus rectum and graph #x=-1/3y^2-12y+15#?
- How do you identify the vertex, focus, directrix and the length of the latus rectum and graph #x=3y^2+4y+1#?
- How do you write the equation given vertex (0,1) and focus (0,5)?
- How do you write the equation given vertex (8,6) and focus (2,6)?
- How do you write the equation given focus (-4,-2) directrix x=-8?
- How do you write the equation given vertex (-7,4) and axis of symmetry x=-7 and measure of latus rectum 6, a<0?
- How do you write the equation given vertex (4,3), axis of symmetry y=3, measure of latus rectrum 4, a>0?
- What is the focus of the parabola given by #-1/4(y+2)^2=(x-1)#?
- How do you find the quadratic function #y=f(x)# whose graph has a vertex #(-4,4)# and passes through the point #(-8,0)#?
- How do you find the focus and directrix of #-2y^2=4x#?
- How do you find the focus, directrix and sketch #y=x^2-2x#?
- How do you find the focus, directrix and sketch #y=x^2+2x+1#?
- How do you find the focus, directrix and sketch #y=2x^2+x-2#?
- How do you find the focus, directrix and sketch #y=x^2-x+1#?
- How do you find the focus, directrix and sketch #y=1-x-x^2#?
- How do you find the focus, directrix and sketch #y=1/3x^2-x#?
- How do you find the focus, directrix and sketch #x=2y^2-4#?
- How do you find the focus, directrix and sketch #x=-y^2+y+1#?
- How do you find the vertex, focus and sketch #y^2=3x#?
- How do you find the vertex, focus and sketch #x^2+8y=0#?
- How do you find the vertex, focus and sketch #x+y^2=0#?
- How do you find the vertex, focus, and directrix of the parabola #(x+3)+(y-2)^2=0#?
- How do you find the vertex, focus, and directrix of the parabola #(y+1/2)^2=2(x-5)#?
- How do you find the vertex, focus, and directrix of the parabola #(x+1/2)^2=4(y-3)#?
- How do you find the vertex, focus, and directrix of the parabola #y=1/4(x^2-2x+5)#?
- How do you find the vertex, focus, and directrix of the parabola #4x-y^2-2y-33=0#?
- How do you find the vertex, focus, and directrix of the parabola #y^2+6y+8x+25=0#?
- How do you find the vertex, focus, and directrix of the parabola #y^2-4y-4x=0#?
- How do you find the vertex, focus, and directrix of the parabola #y=-1/6(x^2+4x-2)#?
- How do you sketch the parabola #(x-3)^2=-16y# and find the vertex, focus, and directrix?
- How do you sketch the parabola #(y-2)^2=-12(x+3)# and find the vertex, focus, and directrix?
- How do you sketch the parabola #(x+2)^2=-20(y-5)# and find the vertex, focus, and directrix?
- How do you sketch the parabola #(y+3/2)^2=-7(x+9/2)# and find the vertex, focus, and directrix?
- How do you write the parabola #y^2-10y-27x+133=0# in standard form and find the vertex, focus, and directrix?
- How do you write the parabola #25x^2+20x+5y-1=0# in standard form and find the vertex, focus, and directrix?
- How do you write the parabola #2y^2+4y+x-8=0# in standard form and find the vertex, focus, and directrix?
- How do you write the parabola #x^2-10x+12y+1=0# in standard form and find the vertex, focus, and directrix?