How do you find the vertex, x-intercept, y-intercept, and graph the equation #y=-4x^2+20x-24#?
The graph is a parabola that opens downward.
Generally, a parabola has the following equation:
I. Solve for Vertex
To solve for k plug in the value of h to x in the original equation
The vertex is at
II. x and y intercepts
set y = 0 to get the x-intercepts
divide both sides by -4
To get the y-intercepts, set
How to graph?
1. Plot the vertex at
2. Plot the x intercepts
3. Plot the y-intercept
Can anyone help me to create a picture of the graph here. I really don't know how. Thanks.
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