x-intercept #1
x-intercepts #2
Vertex #1
Vertex #2
Word Problems
100

What are the x-intercepts of y=4x- 16?

4 and -4

100

What are the x-intercepts of y = 2x2?

x = 0

100

What is the vertex of the following function? y=(x-4)2+5?

(4, 5)

100

What is the vertex of the following function? y = -4(x-8)2+10

(8, 10)

100

The height of a baseball in feet, t seconds after it

is thrown from the stands down to the field, is

modeled by the function h(t) = −16t+ 48t + 64.

When will the ball be at its maximum height?

1.5 seconds

200

What are the x-intercepts of y = x2+12x+36?

-6

200

What are the x-intercepts of y = 2x2 - 14x - 36?

x = 9    x = -2

200

What is the vertex of the following function? y=(x+9)2?

(-9, 0)

200

What is the vertex of the following function? y = 3x2-6x+13

(1, 10)


200

The height of a baseball in feet, t seconds after it

is thrown from the stands down to the field, is

modeled by the function h(t) = −16t+ 48t + 64.

What will the ball be at its maximum height?

100 feet


300

What are the x-intercepts of y = 5(x -2)+ 50?

no solution

300

What are the x-intercepts of y=8x- 2x2+28x - 7?

2x2(4x-1)7(4x-1)

x= 1/4

300

What is the vertex of the following function? y=2x+ 8x - 1?

(-2, -9)

300

Convert to vertex form y = x2+10x-8.

y = (x+5)2-33
300

The height of a baseball in feet, t seconds after it

is thrown from the stands down to the field, is

modeled by the function h(t) = −16t+ 48t + 64.

When will the ball hit the ground?

1 second

400

What are the x-intercepts of y = 3(x+7)2 - 27?

x = -4  and  x = -10

400

What are the x-intercepts of y = -3(x+1)2+15?

x = +/- sqrt(5) - 1

400

What is the vertex of the following function? y=(x+7)(x-5)?

(-1, -36)


400

Convert the following to vertex form. y = -x2+6x-10

y = -(x - 3)2-1

400

As seen in the diagram below, Jonah is building a walkway with a width of 𝑥 feet to go around a swimming pool that measures 11 feet by 9 feet. If the total area of the pool and the walkway will be 575 square feet, how wide should the walkway be?


7 feet

500

What are the x-intercepts of y = 4x- 5x - 6?

x = 2 and x = -3/4

500

What are the x-intercepts of y = 4x - 8x + 1?

x = 1.87 and x = 0.13

500

What is the vertex of the following function? y = 2x- 3x+1

(3/4, -1/8)

500

Convert to vertex form. y = 2x2+5x+2

y = 2(x+5/4)2- 9/8


500

The length of a rectangular poster is 4 more inches than three times its width. The area of the poster is 340 square inches. Solve for the dimensions (length and width) of the poster.

10 x 34

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