Question

First, determine the vertex from the graph. (x, y) = (-3, -2) Step 2 A quadratic function in standard form is given by the following equation. f(x) = a(x - h)² + k The vertex (h, k) can be used to fill in the blanks below. f(x) = a(x - (-3))² + (-2) f(x) = a(x + 3)² - 2 Step 3 Finally, determine a. The parabola passes through the point (0, 7). Substitute the values of x and y into the equation. _ = a(0 + _)² - 2 Solve for a. Simplify the coefficient of a and move all constant terms to the left side of the equation. 9 = ( _ ) a Simplify. a = _

          First, determine the vertex from the graph.
(x, y) = (-3, -2)
Step 2
A quadratic function in standard form is given by the following equation.
f(x) = a(x - h)² + k
The vertex (h, k) can be used to fill in the blanks below.
f(x) = a(x - (-3))² + (-2)
f(x) = a(x + 3)² - 2
Step 3
Finally, determine a. The parabola passes through the point (0, 7). Substitute the values of x and y into the equation.
_ = a(0 + _)² - 2
Solve for a. Simplify the coefficient of a and move all constant terms to the left side of the equation.
9 = ( _ ) a
Simplify.
a = _

First, determine the vertex from the graph.
(x, y) = (-3, -2)
Step 2
A quadratic function in standard form is given by the following equation.
f(x) = a(x - h)² + k
The vertex (h, k) can be used to fill in the blanks below.
f(x) = a(x - (-3))² + (-2)
f(x) = a(x + 3)² - 2
Step 3
Finally, determine a. The parabola passes through the point (0, 7). Substitute the values of x and y into the equation.
= a(0 + )² - 2
Solve for a. Simplify the coefficient of a and move all constant terms to the left side of the equation.
9 = ( ) a
Simplify.
a =

Added by Debra N.

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