Question

What is the x-coordinate of the turning point of y=x2-4x+7

Answer 1

Answer:

1. What is the coordinate of the turning point for the equation y=4x2+4x−4?

Answer: (-12 -5)

Rewrite the equation y=4x2+4x−4 in completed square form:

y=(2x+1)2−5

The turning point is where (2x+1)=0 or x = −12

When this is true, y = -5.

2. What is the coordinate of the turning point for the equation y=x2+4x+7?

Answer: (-2, 3)

(x + 2)(x + 2) = x2 + 4x + 4

Therefore (x + 2)2 + 3 = x2 + 4x + 7

Make one of the brackets equal to zero; x = -2. y is equal to the remainder.

Turning point is at (-2, 3).