Q#3 Alg. 2 (2024-25)

Determine the equation for the function shown in vertex form.

• y = -3(x +1)² +1

• y = (x +1)² +1

• y = -3(x +1)² -1

• y = -3(x -1)² +1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph of a quadratic equation is shown. To find the equation of the quadratic function represented by the graph, it would be easiest to use

• Vertex Form

• Standard Form

• Factored form

• Y- intercept form

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.3

Determine the equation for the function pictured in vertex form.

• y = (x -3)² -2

• y = (x +3)² -2

• y = (x -3)² +3

• y = -2(x -3)² -2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Rheas online bag store records the average sales and profit per month for the last six months. The table below shows the average sales and total profit for each month of Rheas business. She spent $2,200 before she sold her first bag.

Month1 Month 2 Month 3 Month 4 Month 5 Month 6

Price $11 $8 $6 $7 $10 $5

Profit $0 $4,200 $5,000 $4,800 $1,800 $4,800

What is the price that Rhea should charge for each bag?

• $6

• $7

• $5

• $10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

A rocket launching hobbyist is recording how high the rocket travels after launch until it lands on the ground. The graph shows the the height, h, of the rocket, in feet above the ground and time, t, in seconds. Which statement is true based on the model?

• The rocket was launched from a building located at 240 feet from the ground.

• The highest point of the rocket was a height of 320 feet.

• The rocket traveled approximately 28 seconds before reaching the ground.

• The highest point of the rocket was a height of 4 feet.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.D.10

A swim team member performs a dive from a 16-foot high platform. The parabola shows the path of her dive as distance away from the platform, in feet.

Select the statement that is NOT true from this model.

• The swimmer began her dive at a height of 16 feet.

• The swimmer traveled 8 feet before reaching the surface of the water.

• The highest point of the swimmer was at a height of 25 feet.

• The highest point of the swimmer was at a height of 3 feet.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.D.10

Genesis kicks a soccer ball during soccer practice. The graph shows the height, h, in feet of the soccer ball t seconds after it is kicked.

Select the statement that is NOT true from this model.

Responses

• The highest point of the soccer ball is 36 feet.

• Genesis was 3 feet away from the net when she kicked the soccer ball.

• Genesis kicked the ball from 0 feet above the ground.

• The soccer ball traveled 3 seconds before hitting the ground.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

George started an online business buying and selling pre-loved products. He made a table showing his average sale price and total profit for each month for his first six months of business.

Month 1 Month 2 Month 3 Month 4 Month 5 Month 6

Price $10 $8 $5 $3 $6 $9

Profit $5,300 $6,900 $6,300 $3,900 $6,900 $6,300

What price should George charge for each pre-loved product to maximize his profit?

• $5

• $6

• $7

• $8

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

Rewrite the equation in vertex form y = -2x² + 8x - 6

• y = 2(x + 2)² - 2

• y = -2(x - 2)² + 2

• y = -2(x - 2)² - 2

• y = 2(x - 2)² + 2

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142

• f(x) = (x + 6)² - 34

• f(x) = (x + 6)² - 38

• f(x) = (x + 6)² + 34

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8