Question

Describe the graph of the function.

Answer 1

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 :

${(x + \frac{b}{2} )}^{2} - {( \frac{b}{2} )}^{2} + c = 0$

Let y = 0,

$2{x}^{2} + 12x - 15 = 0$

$2( {x}^{2} + 6x - \frac{15}{2} ) = 0$

${( {x + \frac{6}{2}) }^{2} - ( { \frac{6}{2} )}^{2} - \frac{15}{2} } = 0$

$( {x + 3)}^{2} - {(3)}^{2} - \frac{15}{2} = 0$

$( {x + 3)}^{2} - 9 - \frac{15}{2} = 0$

$(x { + 3)}^{2} - \frac{33}{2} = 0$

$2(x { + 3)}^{2} - 33 = 0$

Next, you have to solve the x value :

x + 3 = 0

x = -3