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Algebra 1 practice
Writing equations of parabolas · 1–6
Write the equation of each parabola in vertex form.
1.Vertex (−5, −6), passing through (−4, −7)
2.Vertex (−5, −3), passing through (−7, 1)
3.Vertex (−6, −8), passing through (−7, −9)
4.Vertex (4, −1), passing through (6, 11)
5.Vertex (−3, −2), passing through (−4, 0)
6.Vertex (−2, 3), passing through (−3, 1)
Transformations of functions · 7–12
Write the equation of g(x).
7.Start with f(x) = |x|: reflect it over the x-axis, then shift it 2 units right, then shift it 2 units up.g(x) =
8.Start with f(x) = x²: reflect it over the x-axis, then shift it 3 units right, then shift it 6 units down.g(x) =
9.Start with f(x) = √x: reflect it over the x-axis, then shift it 2 units down.g(x) =
10.Start with f(x) = x³: reflect it over the x-axis, then shift it 1 unit up.g(x) =
11.Start with f(x) = x²: reflect it over the x-axis, then shift it 2 units left, then shift it 3 units up.g(x) =
12.Start with f(x) = |x|: reflect it over the x-axis, then shift it 5 units left, then shift it 6 units down.g(x) =
Answer key — Algebra 1 practice
Writing equations of parabolas
Transformations of functions
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