Question

the standard form of the equation of a parabola is y = 2x^2 16x 17. what is the vertex form of the equation?

Answer 1

Answer:

Vertex form of the equation is y = 2(x+4)²-15

Step-by-step explanation:

Standard form of the equation of a parabola is y = 2x²+16x+17

we have to convert it in vertex form.

y = 2(x²+8x) + 17 = 2(x² + 4x + 16) + 17-32 = 2(x + 4)² -15

therefore vertex form of the parabola is y = 2(x + 4)² -15  

Answer 2

Standard form = 2x^2 + 16x + 17
Vertex form = 2(x^2 + 8x + 17/2) = 2(x^2 + 8x + 16 + 17/2 - 16) = 2(x^2 + 8x + 16) + 2(-15/2) = 2(x + 4)^2 - 15.

Therefore, vertex form is 2(x + 4)^2 - 15