Quiz about Quadratic Characteristics

Question 1

Solve by factoring: x² - 9x + 20 = 0

Accepted Answer

x = 4 and x = 5

Answer

x = -4 and x = -5

Answer

x = 20 and x = -9

Answer

x = -4 and x = 5

Question 2

Solve for x. Round to the nearest hundredth if necessary.

3x² = 16x + 12

Accepted Answer

x = -0.67 and x = 6

Answer

x = -6 and x = 0.67

Answer

x = 3.33 and x = 18

Answer

x = -3.33 and x = 18

Question 3

Solve for x. Round to the nearest hundredth if necessary.

2x² = -x + 3

Accepted Answer

x = -1.5 and x = 1

Answer

x = -1 and x = 1.5

Answer

x = 1.5 and x = -1

Answer

x = 1 and x = 1.5

Question 4

Based on this table of values of a quadratic function, what is the VERTEX?

Accepted Answer

(-1, -9)

Answer

(-4, 0)

Answer

cannot be determined

Answer

(0, -8)

Question 5

If the axis of symmetry is at $$x=1$$ , What is the vertex??

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

Accepted Answer

$$\left(1,2\right)$$

Answer

$$\left(1,0\right)$$

Answer

$$\left(-1,2\right)$$

Answer

$$\left(-1,6\right)$$

Question 6

If the x-value of the vertex is 1, What is the y-value?

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

Accepted Answer

2

Answer

1

Answer

3

Answer

5

Answer

4

Question 7

Which answer choice describes y = -3x² +7x - 2 accurately?

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 8

y = x² - 4x + 5

Accepted Answer

up and up

Answer

down and down

Answer

down and up

Answer

up and down

Question 9

Which statements are true about the quadratic parent function?

**Select all that apply.**

Accepted Answer

It has only one x-intercept.

Accepted Answer

The domain is all real numbers.

Answer

It opens downward.

Answer

The range is all real numbers.

Question 10

What is the range of this quadratic function?

Accepted Answer

y > -8

Answer

y < -8

Answer

x = all real numbers

Answer

y = all real numbers

Question 11

Using the graph of y = -1.5x² + 12x - 23 shown here, what are the values of x when y = -5?

Accepted Answer

x = 2, 6

Answer

x = 4

Answer

x = 3.2, 4.8

Answer

cannot be determined on the graph

Question 12

The graph shown here represents which quadratic function?

Accepted Answer

$$f\left(x\right)=\frac{1}{4}x^2-3x+2$$

Answer

$$f\left(x\right)=-\frac{1}{4}x^2+3x-7$$

Answer

$$f\left(x\right)=-4x^2+6x+2$$

Answer

$$f\left(x\right)=4x^2-6x-7$$

Question 13

Does the graph of $$y=-3x^2-2x+9$$ have a MINIMUM or a MAXIMUM?

Accepted Answer

MAXIMUM

Answer

MINIMUM

Answer

CANNOT BE DETERMINED

Question 14

Does the graph of $$y=4x^2-7x-3$$ have a MINIMUM or a MAXIMUM? Why?

Accepted Answer

MINIMUM, because the value of "a" is positive.

Answer

MAXIMUM, because "a" times "c" is -12.

Answer

CANNOT BE DETERMINED

Question 15

Given a quadratic equation in standard form,

y = ax²+ bx + c,

how do you find the equation for the AXIS OF SYMMETRY?

Accepted Answer

$$x=\frac{-b}{2a}$$

Answer

$$x=\frac{b}{2a}$$

Answer

$$x=\frac{ac}{b}$$

Answer

$$x=\frac{-ac}{b}$$

Quadratic Characteristics

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