Mathematics, 30.11.2021 03:40 tydendf10
Guided Practice
Write the equation of the parabola in vertex form. The vertex is (−3, −4) and the parabola passes through the point (−1, 0).
Start with vertex form.
y = a(x − h)2 + k
Using the vertex (−3, −4), substitute h = –3 and k = −4.
y = a(x − (−3))2 + (−4)
y = a(x + 3)2 + (−4)
Substitute the included point (−1, 0) into the equation for x and y.
0 = a(−1 + 3)2 − 4
Simplify the equation to solve for a.
0 = a(2)2 − 4
Type your answer and then click or tap Done.
Complete the equation for the parabola in the graph.
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