Complete the Square and Vertex Form (Review)

Authored by Chad Fekany

Mathematics

9th Grade

CCSS covered

Used 28+ times

Complete the Square and Vertex Form (Review)

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17 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the Quadratic Equation $x^2\ +\ 8x\ +\ 5\ =\ 0\$ is rewritten as $\left(x\ -\ p\right)^2\ =\ q$ . What is the value of "p" and "q"

p = 11 and q = -4

p = 4 and q = 11

p = -4 and q = 11

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the quadratic equation $x^2-\ 8x\ -\ 33\ =\ 0\ \$ is rewritten in the form $\left(x\ -\ p\right)^2\ =\ q$ . What is the Value of "q"?

q = 49

q = -17

q = -49

q = 4

Tags

CCSS.HSA-REI.B.4B

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Select all the Statements that are TRUE.

$y\ =\ -3\left(x\ +\ 2\right)^2\ +\ 5$

The Vertext is (-2, 5)

There is a Minimum Value of 5

There is a Maximum Value of 5

The A.O.S is x = -2

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Select all the statements that are TRUE.

$y\ =\ \left(x\ -\ 6\right)^2\ -\ 10$

The Vertext is (-6, -10)

There is a Minimum Value of -10

The A.O.S is x = 6

The Vertex is (6, -10)

There is a Maximum Value of -10

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Complete the square of the following quadratic equation determine the Vertex.

$x^2\ +\ 14x\ -\ 15\ =\ 0$

Vertex = (7, 64)

Vertex = (-7 , 64)

Vertex = (-7, -64)

Vertex = (7 - 64)

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What do you do to the b value to correctly complete the square?

square it

divide it by 2 and square the result

divide it by 2 and take the square root of the result

divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

x = -2 ± √3

x = -3 ± √2

x = 2 ± √3

x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When writing the following Quadratic Equation $x^2-\ 4x\ +\ 4\ =\ 20$ in the form

$\left(x\ -\ p\right)^2\ =\ q$

what goes in the blank? (x - __ )2 = 20

Tags

CCSS.HSA-REI.B.4B

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Complete the Square and Vertex Form (Review)

If the Quadratic Equation $x^2\ +\ 8x\ +\ 5\ =\ 0\$ is rewritten as $\left(x\ -\ p\right)^2\ =\ q$ . What is the value of "p" and "q"

If the quadratic equation $x^2-\ 8x\ -\ 33\ =\ 0\ \$ is rewritten in the form $\left(x\ -\ p\right)^2\ =\ q$ . What is the Value of "q"?

Select all the Statements that are TRUE.

$y\ =\ -3\left(x\ +\ 2\right)^2\ +\ 5$

Select all the statements that are TRUE.

$y\ =\ \left(x\ -\ 6\right)^2\ -\ 10$

Complete the square of the following quadratic equation determine the Vertex.

$x^2\ +\ 14x\ -\ 15\ =\ 0$

What do you do to the b value to correctly complete the square?

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

Write the following quadratic expression in completed square form...

x² + 4x + 10

When writing the following Quadratic Equation $x^2-\ 4x\ +\ 4\ =\ 20$ in the form

$\left(x\ -\ p\right)^2\ =\ q$

what goes in the blank? (x - __ )2 = 20

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

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Complete the Square and Vertex Form (Review)

If the Quadratic Equation x2 + 8x + 5 = 0 x^2\ +\ 8x\ +\ 5\ =\ 0\ x2 + 8x + 5 = 0 is rewritten as (x − p)2 = q\left(x\ -\ p\right)^2\ =\ q(x − p)2 = q . What is the value of "p" and "q"

If the quadratic equation x2− 8x − 33 = 0 x^2-\ 8x\ -\ 33\ =\ 0\ \ x2− 8x − 33 = 0 is rewritten in the form (x − p)2 = q\left(x\ -\ p\right)^2\ =\ q(x − p)2 = q . What is the Value of "q"?

Select all the Statements that are TRUE. y = −3(x + 2)2 + 5y\ =\ -3\left(x\ +\ 2\right)^2\ +\ 5y = −3(x + 2)2 + 5

Select all the statements that are TRUE. y = (x − 6)2 − 10y\ =\ \left(x\ -\ 6\right)^2\ -\ 10y = (x − 6)2 − 10

Complete the square of the following quadratic equation determine the Vertex. x2 + 14x − 15 = 0x^2\ +\ 14x\ -\ 15\ =\ 0x2 + 14x − 15 = 0

What do you do to the b value to correctly complete the square?

Solve the following quadratics equation by completing the square...x2 + 4x + 1 = 0

Write the following quadratic expression in completed square form...x2 + 4x + 10

When writing the following Quadratic Equation x2− 4x + 4 = 20x^2-\ 4x\ +\ 4\ =\ 20x2− 4x + 4 = 20 in the form (x − p)2 = q\left(x\ -\ p\right)^2\ =\ q(x − p)2 = q what goes in the blank? (x - __ )2 = 20

If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?

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If the Quadratic Equation $x^2\ +\ 8x\ +\ 5\ =\ 0\$ is rewritten as $\left(x\ -\ p\right)^2\ =\ q$ . What is the value of "p" and "q"

If the quadratic equation $x^2-\ 8x\ -\ 33\ =\ 0\ \$ is rewritten in the form $\left(x\ -\ p\right)^2\ =\ q$ . What is the Value of "q"?

Select all the Statements that are TRUE.

$y\ =\ -3\left(x\ +\ 2\right)^2\ +\ 5$

Select all the statements that are TRUE.

$y\ =\ \left(x\ -\ 6\right)^2\ -\ 10$

Complete the square of the following quadratic equation determine the Vertex.

$x^2\ +\ 14x\ -\ 15\ =\ 0$

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

Write the following quadratic expression in completed square form...

x² + 4x + 10

When writing the following Quadratic Equation $x^2-\ 4x\ +\ 4\ =\ 20$ in the form

$\left(x\ -\ p\right)^2\ =\ q$

what goes in the blank? (x - __ )2 = 20

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?