# What is the vertex of the graph of #y = 2(x – 3)^2 + 4#?

##### 2 Answers

Vertex is

#### Explanation:

If the equation of parabola is of the form

the vertex is

Observe that when

Hence, we have a minima at

Here we have

graph{2(x-3)^2+4 [-6.58, 13.42, 0, 10]}

#### Explanation:

#"the equation of a parabola in "color(blue)"vertex form"# is.

#•color(white)(x)y=a(x-h)^2+k#

#"where "(h,k)" are the coordinates of the vertex and a"#

#"is a multiplier"#

#y=2(x-3)^2+4" is in this form"#

#"with "(h,k)=(3,4)larrcolor(magenta)"vertex"#

#"and "a=2#

#"since "a>0" then graph is a minimum"#

graph{2(x-3)^2+4 [-20, 20, -10, 10]}