Quiz about Creating Quadratic Mathematical Models

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

Creating Quadratic Mathematical Models

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