Write the function in vertex form. y=x^2+5x-9

The function in the vertex form is y = (x + 2.5)² - 15.25

Step-by-step explanation:

The vertex form of the quadratic function y = ax² + bx + c is:

y = a(x - h)² + k, where

∵ The given function is y = x² + 5x - 9

∴ a = 1, b = 5, c = -9

→ Use a and b to find h

∵ h =

∴ h =

∴ h = -2.5

→ Find y at x = -2.5

∵ y = (-2.5)² + 5(-2.5) - 9 = 6.25 - 12.5 - 9

∴ y = -15.25

∴ k = -15.25

→ Substitute a, h, k in the vertex form above

∴ y = 1(x - -2.5)² + -15.25

∴ y = (x + 2.5)² - 15.25

The function in the vertex form is y = (x + 2.5)² - 15.25

75

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.