Y = 5x^2 - 10
what is the rate of change ?
is the function linear or non linear ? why ?

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

• The coefficient of the x² term must be 1

y = 2(x² - 9x) + 8

• add/subtract (half the coefficient of the x- term)² to x² - 9x

y = 2(x² + 2 (- ) x + (- )² - (- )²) + 8

y = 2(x - )² - 2( + 8

  = 2(x - )² - ← in vertex form