Question

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function.

y = 2x2 + 4

a. x=-1;(-1,6)
b.x= 0;(0,4)
c.x=0;(0,6)

Answer 1

x = 0; (0, 4)

Explanation:

x = −b/2a = 0/2(2) = 0

The axis of symmetry is x = 0.

y = 2x2 + 4

y = 2(0)2 + 4 = 4

The vertex is (0, 4).

Answer 2

b. x = 0 ; (0,4)

Explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph .

The equation is:

y=2*x^2+4

We can appreciate that the axis of symmetry corresponds to the y-axis, which is equal to the line x = 0

The vertex corresponds to the minimum point of the function.

V = (0,4)

Correct option: b.