Answer:
The answer is option 1.
Step-by-step explanation:
Axis of symmetry means the middle x-coordinates of the parabola. So in order to find the x value, you have to find the TP which is Turning Point by using Completing the Square :
[tex] {(x + \frac{b}{2} )}^{2} - {( \frac{b}{2} )}^{2} + c = 0[/tex]
Let y = 0,
[tex]2{x}^{2} + 12x - 15 = 0[/tex]
[tex]2( {x}^{2} + 6x - \frac{15}{2} ) = 0[/tex]
[tex]{( {x + \frac{6}{2}) }^{2} - ( { \frac{6}{2} )}^{2} - \frac{15}{2} } = 0[/tex]
[tex]( {x + 3)}^{2} - {(3)}^{2} - \frac{15}{2} = 0[/tex]
[tex]( {x + 3)}^{2} - 9 - \frac{15}{2} = 0[/tex]
[tex](x { + 3)}^{2} - \frac{33}{2} = 0[/tex]
[tex]2(x { + 3)}^{2} - 33 = 0[/tex]
Next, you have to solve the x value :
x + 3 = 0
x = -3
