Identify the vertex, axis of symmetry, maximum or minimum, and domain and range of the function.
F(x)=2(x+9)^2-4

Question

Identify the vertex, axis of symmetry, maximum or minimum, and domain and range of the function.
F(x)=2(x+9)^2-4

jchick · Answer

What have you done so far?

pagen13 · Answer

I don't understan any of it...

campbell_st · Answer

well the vertex form of the parabola is 

$$y = a(x - h)^2 + k$$

(h, k) is the vertex... 

so what is the vertex in your equation... just match the information

pagen13 · Answer

(9,4)

campbell_st · Answer

close your equation is 

$$y = 2(x - (-9))^2 + (-4)$$

this may make it easier.... you need to check

pagen13 · Answer

So (-9,-4)

campbell_st · Answer

great... 

next, the line of symmetry is the h value in the vertex...

and it will be in the form x = ..?

any thoughts...

campbell_st · Answer

or to make it easier... the line of symmetry is the x value in the vertex

pagen13 · Answer

So -9^2?

campbell_st · Answer

you need the values from the vertex... 

you said the vertex is (-9, -4) 

so the line of symmetry comes from the vertex and is x = -9

does that make sense...?

pagen13 · Answer

Oh okay yeah

campbell_st · Answer

the max or min value also comes from the vertex.. 

in your question, the parabola is concave up... so the minimum value is the y-value in the vertex... 

so what do you think the minimum is   y = ??

pagen13 · Answer

y=-4

campbell_st · Answer

that's correct... 

the curve looks like this 

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