Quiz about Algebra 1 Quadratic Equations

Question 1

What is the axis of symmetry for the graph:

Accepted Answer

y axis

Answer

y intercept

Answer

x axis

Answer

x intercept

Answer

y = 8

Question 2

What is the range shown for the equation in the graph:

Accepted Answer

$$y\ \ge\ -5$$

Answer

$$\ y\ \ge\ +5$$

Answer

$$y\ \le\ -5$$

Answer

$$y\ \le\ +5$$

Answer

All real numbers

Question 3

What is the domain for the graph shown:

Accepted Answer

All real numbers

Answer

$$-10\ \le\ \ y\ \le\ -5$$

Answer

$$-1.2\le x\le1.2$$

Answer

$$y\ge-5$$

Answer

$$x\ge-5$$

Question 4

How will the parent function $$f\left(x\right)=x^2$$ be transformed if "a" becomes bigger than 1?

Accepted Answer

The parabola will stretch vertically and become narrower.

Answer

The parabola will shift horizontally.

Answer

The parabola will shift vertically.

Answer

The parabola will compress and become wider.

Answer

The parabola will reflect over the x-axis.

Question 5

How will the parent function $$f\left(x\right)=x^2$$ be transformed if "a" becomes negative?

Accepted Answer

The parabola will reflect over the x-axis.

Answer

The parabola will shift horizontally.

Answer

The parabola will shift vertically.

Answer

The parabola will stretch vertically and become narrower.

Answer

The parabola will compress and become wider.

Question 6

How will the parent function $$f\left(x\right)=x^2$$ be transformed if "a" becomes a fraction where $$0\ <\ a\ <\ 1$$ ?

Accepted Answer

The parabola will compress and become wider.

Answer

The parabola will shift horizontally.

Answer

The parabola will shift vertically.

Answer

The parabola will stretch vertically and become narrower.

Answer

The parabola will reflect over the x-axis.

Question 7

What is the vertex for the equation in the graph:

Accepted Answer

(0, 8)

Answer

(-7.5, 0)

Answer

(8, 0)

Answer

(0, -7.5)

Question 8

What is the equation for the graph:

Accepted Answer

$$y=3x^2-5$$

Answer

$$y=-3x^2-5$$

Answer

$$y=-3x^2+5$$

Answer

$$y=3x^2+5$$

Question 9

What is the equation for the graph:

Accepted Answer

$$y=x^2-4$$

Answer

$$y=x^2+4$$

Answer

$$y=-4x^2+1$$

Answer

$$y=4x^2-1$$

Question 10

The graph of the parent quadratic function $$f\left(x\right)=x^2$$ is vertically stretched by a factor of $$\frac{1}{4}$$ , reflected across the x-axis, and then translated 7 units up. Which values for a & k would be used to write the equation of the new graph? $$f\left(x\right)=ax^2+k$$

Accepted Answer

$$a\ =\ -\frac{1}{4}\ \ ,\ \ k=7$$

Answer

$$a\ =\ \frac{1}{4}\ \ ,\ \ k=7$$

Answer

$$a\ =\ 7\ \ ,\ \ k\ =\ \frac{1}{4}$$

Answer

$$a\ =\ \frac{1}{4}\ \ ,\ \ k\ =\ -7$$

Question 11

What are the x - intercepts for the equation shown on the graph?

Select all that apply.

Accepted Answer

(-1 , 0)

Accepted Answer

(1 , 0)

Answer

(0 , -5)

Answer

(-5 , 0)

Answer

(-1 , 1)

Question 12

Does this equation have a maximum or minimum: $$f\left(x\right)=-\frac{1}{2}x^2+4$$ ?

Accepted Answer

Maximum

Answer

Minimum

Answer

Neither

Question 13

How many x-intercepts are there for this graph?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 14

Select the equation that matches the graph.

Accepted Answer

$$y=\left(x+1\right)\left(x-3\right)$$

Answer

$$y=\left(x+3\right)\left(x+3\right)$$

Answer

$$y=\left(x-1\right)\left(x-3\right)$$

Answer

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

Question 15

What do these two parabolas have in common?

Accepted Answer

Same x-intercept

Accepted Answer

Both have two x-intercepts

Answer

Same line of symmetry

Answer

Both have a positive x² term

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