Quiz about Modeling Geometric Figures with Quadratics

Question 1

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 2

Which function is best represented by this graph?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 3

Which quadratic function in vertex form can be represented by the graph that has a vertex at (-8, -5) and passes through the point (-13, 5)?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 4

Which function is best represented by this graph?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 5

The turning point of the function, f(x) = -2(x + 3)² + 7, can be described as:

Accepted Answer

(-3, 7) and is a maximum point

Answer

(-3, 7) and is a minimum point

Answer

(3, 7) and is a maximum point

Answer

(3, 7) and is a minimum point

Question 6

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

Accepted Answer

(x-6) and (x-8)

Answer

(x+6) and (x+8)

Answer

(x-6) and (x+8)

Answer

(x+6) and (x-8)

Question 7

Write a quadratic equation given the x intercepts and one other point.

Step 2: Find a.

Now that you know that the factors are (x-6) and (x-8), you must find a. Plug the coordinates of the vertex (7, 1) in for x and y and solve for a.

y = a(x-6)(x-8)

What is the value of a?

Accepted Answer

a = -1

Answer

a = 1

Answer

a = 7

Answer

a = -7

Question 8

Write a quadratic equation given the x intercepts and one other point.

Step 3: Write the equation in factored form.

Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.

Accepted Answer

-(x-6)(x-8)

Answer

-(x+6)(x+8)

Answer

(x-6)(x+8)

Answer

(x+6)(x-8)

Question 9

Write a quadratic equation given the x intercepts and one other point.

Put the steps together.

Find the factors.
Solve for a by substituting in the extra point.
Write the equation in factored form.

The roots of the function are (-3, 0) and (5, 0).

The point (4, -3) is also on the graph.

Accepted Answer

y=3/7(x+3)(x-5)

Answer

y=4(x+3)(x-5)

Answer

y=3/7(x-3)(x+5)

Answer

y=-3(x-3)(x+5)

Question 10

Write a quadratic equation in vertex form given the vertex and another point.

Substitute the coordinates of the vertex (1, -4) in for h and k.

Vertex form: y=a(x-h)²+k

Accepted Answer

(x-1)²-4=y

Answer

(x+1)²-4=y

Answer

(x + 1)(x - 3)=y

Answer

x2 +2x - 3=y

Question 11

Which equation represents this graph.

Accepted Answer

f(x)=-(x - 4)² + 3

Answer

f(x)=(x - 4)² - 3

Answer

f(x)=(x - 4)² + 3

Answer

f(x)=-(x + 4)² + 3

Question 12

What is the equation for this parabola in factored form?

Accepted Answer

y=(x+2)(x-1)

Answer

y=(x-2)(x+1)

Answer

y=(x-2)(x-1)

Answer

y=(x+2)(x+1)

Question 13

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

Accepted Answer

y = -4(x - 2)(x - 4)

Answer

y = -4(x + 2)(x + 4)

Answer

y = 4(x - 2)(x - 4)

Answer

y = -0.25(x - 2)(x - 4)

Question 14

Write the equation of the quadratic function that has a x-intercepts at 9 and 1 and passes through the point (0, -18).

Accepted Answer

y = -2(x - 9)(x - 1)

Answer

y = x² + 9x - 18

Answer

y = -2(x + 9)(x + 1)

Answer

y = 2(x + 9)(x + 1)

Question 15

Write the equation of the parabola shown.

Accepted Answer

y = 2x² + 4x + 5

Answer

y = 2x² + 4x - 5

Answer

y = 2x² - 4x + 5

Answer

y = 2x² - 4x - 5

Modeling Geometric Figures with Quadratics

19 questions

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

Which function’s graph has a vertex at (3, 5) and contains the point (5, 13)?

Which function is best represented by this graph?

Which quadratic function in vertex form can be represented by the graph that has a vertex at (-8, -5) and passes through the point (-13, 5)?

Which function’s graph has a vertex at (-1, 7) and contains the point (3, -25)?

Which function is best represented by this graph?

The turning point of the function, f(x) = -2(x + 3)² + 7, can be described as:

Write the equation of the parabola shown in vertex form.

Write the equation of the parabola that has x-intercepts of (-2, 0) and (6, 0) and passes through the point (7, 27) in root form.

Write a quadratic equation given the x intercepts and one other point.
Step 1: Write the factors.
The intercepts of this function are (6, 0) and (8, 0). Write the factors.

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Modeling Geometric Figures with Quadratics

19 questions

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

Which function’s graph has a vertex at (3, 5) and contains the point (5, 13)?

Which function is best represented by this graph?

Which quadratic function in vertex form can be represented by the graph that has a vertex at (-8, -5) and passes through the point (-13, 5)?

Which function’s graph has a vertex at (-1, 7) and contains the point (3, -25)?

Which function is best represented by this graph?

The turning point of the function, f(x) = -2(x + 3)2 + 7, can be described as:

Write the equation of the parabola shown in vertex form.

Write the equation of the parabola that has x-intercepts of (-2, 0) and (6, 0) and passes through the point (7, 27) in root form.

Write a quadratic equation given the x intercepts and one other point.Step 1: Write the factors.The intercepts of this function are (6, 0) and (8, 0). Write the factors.

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Similar Resources on Wayground

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The turning point of the function, f(x) = -2(x + 3)² + 7, can be described as:

Write a quadratic equation given the x intercepts and one other point.
Step 1: Write the factors.
The intercepts of this function are (6, 0) and (8, 0). Write the factors.