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Mathematics, 30.11.2021 03:40 tydendf10

Guided Practice Write the equation of the parabola in vertex form. The vertex is (βˆ’3, βˆ’4) and the parabola passes through the point (βˆ’1, 0).

Start with vertex form.
y = a(x βˆ’ h)2 + k

Using the vertex (βˆ’3, βˆ’4), substitute h = –3 and k = βˆ’4.
y = a(x βˆ’ (βˆ’3))2 + (βˆ’4)
y = a(x + 3)2 + (βˆ’4)

Substitute the included point (βˆ’1, 0) into the equation for x and y.
0 = a(βˆ’1 + 3)2 βˆ’ 4

Simplify the equation to solve for a.
0 = a(2)2 βˆ’ 4

Type your answer and then click or tap Done.

Complete the equation for the parabola in the graph.

Incorrect feedback has been removed from the screen.
y = Fill in the blank text field 1
(x + Fill in the blank text field 2
)2 – Fill in the blank text field 3

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