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Algebra L9-5 Quiz v3

Last updated over 2 years ago

6 Nsɛmmisa

1

1

1

1

1

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

What is the vertex of the function f(x)=-5x^{2}+60x+7?
Nota Bene: A vertex of a function is a point on the coordinate plane. If your answer is not a complete and accurate specification of such a point using conventional notation, you will not get full credit.

3

Asemmisa {{asɛmmisaAhyɛnsode}}

1.

Which value of c completes the square in the expression x^{2}-16x+c?

-56

8

-8

64

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Use completing the square to determine which of the following gives solutions to 3x^{2}-18x+2=17.

3\pm \sqrt{14}

4 \pm \sqrt{12}

3 \pm \sqrt{2}

2 \pm \sqrt{11}

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Solve x^{2}+14x+5=0 by completing the square. Identify all of the solutions.

-7-2\sqrt{11}

-7+2\sqrt{11}

-11-\sqrt{7}

-5+2\sqrt{7}

-5-2\sqrt{7}

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

The procedure for completing the square is mostly the same as the procedure to convert a quadratic function from standard form into vertex form. Which is the vertex form of the function f(x)=-5x^{2}+60x+7?

f(x)=-5(x-6)^{2}+187

f(x)=-6(x-5)^{2}+187

f(x)=6x(x+5)^{2}+187

f(x)=5(x+6)^{2}+187

Asemmisa {{asɛmmisaAhyɛnsode}}

6.

\color{blue}{\mathbb{Show. Your. Work.}} (you can do it on paper and hand it in).
The function h(t)=-9t^{2}+18t+20 models the height in meters, h(t), of a rocket t seconds after being launched from an 20-meter-high platform.
A) How many seconds does it take for the rocket to reach its maximum altitude?
B) What is the rocket's maximum altitude?