Question

Convert y= (x-4)(x 2) to vertext form

A. y = (x - 4)²
B. y = 2(x - 4)² + 32
C. y = (x - 4)(x + 4)
D. y = x² - 8x + 16

Answer 1

To convert the given equation to vertex form, we need to expand the expression and simplify it. Then, we can complete the square to rewrite the equation in vertex form.

Step-by-step explanation:

The given expression y = (x - 4)(x + 2) is a quadratic equation, and we want to convert it to vertex form. The vertex form of a quadratic equation is y = a(x - h)² + k. To convert the given equation to vertex form, we need to expand the expression and simplify it.

Expanding and simplifying:

y = (x - 4)(x + 2)

y = x² + 2x - 4x - 8

y = x² - 2x - 8

Now, we can complete the square to rewrite the equation in vertex form:

y = (x - 1)² - 9

So, the answer is A. y = (x - 4)².