How would you write the quadratic function y = -3x² + 18x - 2 in vertex form?

Question

 write the quadratic function y = -3x² + 18x - 2 in vertex form? calculate the vertex to find "h" and "k", and you'll need to use the value of "a".

(x + 3)^2 + 25
-3(x - 3)^2 + 25
(x - 25)^2 + 3
-3(x + 3)^2 + 25
(x - 3)^2 + 25

Answer 1

The equation of a quadratic function in vertex form is

 

y = a(x - h)² + k

 

where:

a is the coefficient of the x² term

The vertex has coordinates (h, k)

 

y = -3(x² - 6x + 9) + 25

 

y = -3(x -3)(x - 3) + 25

 

y = -3(x - 3)² + 25