Algebra L9-5 Quiz v2

Last updated over 2 years ago

6 questions

1

3

Which value of c completes the square in the expression x^{2}+6x+c?

2

-27

-9

9

Use completing the square to determine which of the following gives solutions to 2x^{2}-8x-8=-6.

3 \pm \sqrt{2}

2 \pm \sqrt{6}

4 \pm \sqrt{5}

2\pm \sqrt{5}

Solve x^{2}+10x+11=0 by completing the square. Identify all of the solutions.

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)=4x^{2}+24x+33?

f(x)=4(x+3)^{2}-3

f(x)=3(x-3)^{2}+2

f(x)=2(x+5)^{2}+9

f(x)=4(x-2)^{2}+3

What is the vertex of the function f(x)=4x^{2}+24x+33?

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.

\color{blue}{\mathbb{Show. Your. Work.}} (you can do it on paper and hand it in).

The function h(t)=-3t^{2}+12t+8 models the height in meters, h(t), of a rocket t seconds after being launched from an 8-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?

Which value of c completes the square in the expression x^{2}+6x+c?

2

-27

-9

9

Use completing the square to determine which of the following gives solutions to 2x^{2}-8x-8=-6.

3 \pm \sqrt{2}

2 \pm \sqrt{6}

4 \pm \sqrt{5}

2\pm \sqrt{5}

Solve x^{2}+10x+11=0 by completing the square. Identify all of the solutions.

-5-2\sqrt{7}

-5+7\sqrt{2}

-5+\sqrt{14}

-5+2\sqrt{7}

-5-\sqrt{14}

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)=4x^{2}+24x+33?

f(x)=4(x+3)^{2}-3

f(x)=3(x-3)^{2}+2

f(x)=2(x+5)^{2}+9

f(x)=4(x-2)^{2}+3

Algebra L9-5 Quiz v2

Algebra L9-5 Quiz v2

What is the vertex of the function f(x)=4x^{2}+24x+33?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.

Which value of c completes the square in the expression x^{2}+6x+c?

Use completing the square to determine which of the following gives solutions to 2x^{2}-8x-8=-6.

Solve x^{2}+10x+11=0 by completing the square. Identify all of the solutions.

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)=4x^{2}+24x+33?

What is the vertex of the function f(x)=4x^{2}+24x+33?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.

What is the vertex of the function f(x)=4x^{2}+24x+33?

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.

What is the vertex of the function f(x)=4x^{2}+24x+33?

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.