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Lesson 7 Taking the Scenic Root Develop Understanding

Ready

Find the lengths of the sides of a rectangle with the given areas.

1.

2.

3.

4.

5.

6.

Set

Solve each equation by taking the square root of each side. Write your answers two ways, with a square root and by writing the decimal approximation. The graph for each equation shows a parabola intersecting a horizontal line. Explain how the solutions of the equation relate to the intersection of the line and quadratic function.

7.

Parabola with vertex (0,0) and line y=20x–10–10–10–5–5–5555101010y555101010151515202020000

With :

Decimal approximation:

Intersection at:

8.

Parabola with vertex (-2.5,0) and line y=20x–10–10–10–5–5–5555101010y555101010151515202020000

With :

Decimal approximation:

Intersection at:

9.

Parabola with vertex (5,0) and line y=27x101010y101010202020

With :

Decimal approximation:

Intersection at:

10.

Parabola with vertex (-4,0) and line y=28x–10–10–10101010y101010202020000

With :

Decimal approximation:

Intersection at:

11.

Parabola with vertex (1,0) and line y=8x–6–6–6–4–4–4–2–2–2222444666y222444666888101010000

With :

Decimal approximation:

Intersection at:

12.

Parabola with vertex (-7,0) and line y=12x–10–10–10–5–5–5y555101010000

With :

Decimal approximation:

Intersection at:

Go

Use the graph to write the equation of the parabola in factored form.

13.

Parabola with vertex (-4,-4)x–8–8–8–6–6–6–4–4–4–2–2–2y–4–4–4–2–2–2222444000

14.

Parabola with vertex (-4,0)x–4–4–4–2–2–2222444y–4–4–4–2–2–2222444000

15.

Parabola with vertex (-3,-4)x–6–6–6–4–4–4–2–2–2y–4–4–4–2–2–2222444000

16.

Parabola with vertex (1,-4)x–2–2–2222444y–4–4–4–2–2–2222000