Write the quadratic equation y=x^2-6x+7 in vertex form

Skip to content# Write the quadratic equation y=x^2-6x+7 in vertex form

Mathematics ##
Comments (6) on “Write the quadratic equation y=x^2-6x+7 in vertex form”

### Leave a Reply Cancel reply

Write the quadratic equation y=x^2-6x+7 in vertex form

The answer is (x-3)^2-2

OK. Here goes . . .

y = x^2 - 6x + 7

This is a quadratic function f(x) = y=x²-6x+7

The quadratic equation is x²-6x+7 =0

y=(x-3)^2-2

find the h value using h=-b/2aplug in the value (3) into the equation to solve for kuse the values to write the equation in vertex form which is y=a(x-h)^2+k

Hi there

y=x²-6x+7

There are no like terms

y=x²-6x+7

I hope that's help !

Using the formula x = b/(-2a) to find the x of the vertex you can find y of the vertex and plug into y = a(x - h)² + k where (h, k) is the vertex

h = x = -6/(-2×1) = 3

k = y = (3)² - 6(3) + 7 = -2

a = 1 because it is the coefficient of x² in y = ax² + bx + c

y = (x - 3)² - 2