Question

J(x) = 2x²+8x-5
What is this in vertex form

Answer 1

The vertex form parabola y = 2( x+4)² -37

Explanation:

Step(i):-

Given parabola equation j(x) = 2x² + 8x -5

Let y = 2x² + 8x -5

⇒ y = 2(x² + 2(4x)+(4)²-(4)²) -5

By using (a + b)² = a² +2ab +b²

y = 2(x+4)²- 32 -5

y = 2 ( x-(-4))² -37

Step(ii):-

The vertex form parabola y = a( x-h)² +k

The vertex form parabola y = 2(x+4)² -37