Quiz about Factored Form and Graph

Question 1

What are the x-intercepts of this parabola?

y = 2(x + 5)(x + 1)

Accepted Answer

x = -5, -1

Answer

x = 0, 5, 1

Answer

x = 0, - 5, -1

Answer

x = 5, 1

Question 2

Write the equation of the graph in factored form.

Accepted Answer

-(x+3)(x-4)=0

Answer

(x-4)(x+3)=0

Answer

(x+4)(x-3)=0

Answer

-(x-3)(x+4)=0

Question 3

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

Accepted Answer

(-5, 0) and (9, 0)

Answer

(5,0) and (-9, 0)

Answer

(5, 0) and (9, 0)

Answer

(-3, 0) and (5, 0)and (-9, 0)

Question 4

Which direction is the parabola opening?

y = -3(x + 3)(x - 2)

Accepted Answer

Down

Answer

Left

Answer

Up

Answer

Right

Question 5

What is the equation in factored form of this graph?

Accepted Answer

f(x) = (x+4)(x+1)²(x-2)(x-4)

Answer

f(x) = (x-4)(x-1)²(x+2)(x+4)

Answer

f(x) = (x-4)(x+1)²(x+2)(x+4)

Answer

f(x) = (x-4)(x-1)²(x-2)(x+4)

Question 6

What is a possible equation for the polynomial in factored form?

Accepted Answer

f(x) = x(x - 1)(x - 3)(x - 4)

Answer

f(x) = -x(x + 1)(x + 3)(x + 4)

Answer

f(x) = -x(x - 1)(x - 3)(x - 4)

Answer

f(x) = x(x + 1)(x + 3)(x + 4)

Question 7

Which is a possible equation in factored form of the function in the graph?

Accepted Answer

$$y=-\left(x+1\right)^2\left(x-2\right)$$

Answer

$$y=\left(x+2\right)\left(x-1\right)^2$$

Answer

$$y=\left(x-2\right)\left(x+4\right)\left(x+1\right)^2$$

Answer

$$y=-\left(x+2\right)\left(x-1\right)^2$$

Question 8

What is the equation in factored form of the function graphed?

Accepted Answer

$$f\left(x\right)=\left(x+4\right)\left(x+1\right)^{2\ }\left(x-2\right)\left(x-4\right)$$

Answer

$$f\left(x\right)=-\left(x+4\right)\left(x+1\right)^2\left(x-2\right)\left(x-4\right)$$

Answer

$$f\left(x\right)=-\left(x-4\right)\left(x-1\right)^2\left(x+2\right)\left(x+4\right)$$

Answer

$$f\left(x\right)=\left(x-4\right)\left(x-1\right)^{2\ }\left(x=2\right)\left(x+4\right)$$

Question 9

What is the factored form of a function if it has zeros of 2, 3 and -1?

Accepted Answer

(x-2)(x-3)(x+1)

Answer

(x-1)(x-2)(x-3)

Answer

(x-1)(x+2)(x+3)

Answer

(x+1)(x+2)(x+3)

Question 10

Which quadratic equation models the parabola shown?

Accepted Answer

y = (x-2)(x-5)

Answer

y = (x+2)(x+5)

Question 11

What are the zeros of the quadratic shown in the graph?

Accepted Answer

There are no real zeros

Answer

x = 0

Answer

x = 2 and x = -2

Answer

x = -5 and x = 5

Question 12

The x-intercepts of a quadratic equation are also known as the _____.

Accepted Answer

zeros

Answer

vertices

Answer

squares

Answer

formulas

Question 13

How many x-intercepts can a cubic function have? Select all that apply (not just the maximum amount)! It might help to draw some out like in the Desmos activity.

Accepted Answer

1

Accepted Answer

2

Accepted Answer

3

Answer

0

Question 14

Which form is the best way to write an equation if you are given the x intercepts of a graph?

Accepted Answer

Factored form

Answer

Standard form

Answer

Vertex form

Answer

Point slope form

Question 15

Which equation best matches the graph?

Accepted Answer

y = (x+2)(x+1)(x-1)(x-3)

Answer

y = x(x+2)(x+1)(x-1)(x-3)

Answer

y = (x-2)(x-1)(x+1)(x+3)

Answer

y = x⁴ - 2x³ - 1x² + 1x + 3

Question 16

Which equation best matches the graph?

Accepted Answer

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

Answer

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

Answer

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

Answer

y = x³ + 1x + 3

Question 17

How do you know if a function has a repeated/double root? (select ALL ANSWERS that apply)

Accepted Answer

a factor in the equation is squared

Accepted Answer

The graph bounces off the x-axis

Answer

The graph goes right through the x-axis

Answer

The equation flipped the sign of the x intercepts

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