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Mathematics, 25.11.2021 07:40 preciosakassidy

PLEASE HELP! DAREDEVIL DANNY Step 4: Calculate the equation for the flaming hoop jump. Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome! a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points)

The vertex is 24, 50. The x intercepts are 4, 0 and 44, 0. Plugging these in, we get the vertex form.

f(x) = a(x - 24)^2 + 50.

Now, we substitute an x intercept into the equation in order to solve for a.

0 = a(44 - 24)^2 + 50

a = -0.125 or -1/8

Write the parabola equation in the vertex form: y = a*(x-h)² + k;

Expand the expression in the bracket: y = a*(x² - 2*h*x + h²) + k;

Multiply the terms in the parenthesis by a: y = a*x² - 2*a*h*x + a*h² + k;

Compare the outcome with the standard form of a parabola: y = a*x² +

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