Which equation in slope-intercept form best represents the line that passes through these two points?

y = $$-\frac{2}{3}x - \frac{11}{3}$$

y = $$-\frac{11}{3}x - \frac{2}{3}$$

y = $$-\frac{2}{3}x - \frac{10}{3}$$

y = $$-\frac{10}{3}x - \frac{2}{3}$$

The table represents some points on the graph of the quadratic function $ g $. What is the range of $ g $?

All real numbers less than or equal to $$\frac{19}{4}$$

All real numbers less than or equal to $$\frac{3}{2}$$

All real numbers greater than or equal to $$\frac{3}{2}$$

All real numbers greater than or equal to $$\frac{19}{4}$$

Which statement about the function $$n(x) = 5x^2 - 20x + 12$$ is true?

The range of the function is $ n(x) \geq -8 $.

The domain of the function is $ x \geq 2 $.

The domain of the function is $ x \geq 0 $.

The range of the function is $ n(x) \leq 12 $.

What are the domain and range of $$g(x) = -\frac{1}{4}(x - 17)^2 + 61$$ ?

Domain: All real numbers; Range: $ g(x) \leq 61 $

Domain: $ x \leq 17 $; Range: $ g(x) \leq 61 $

Domain: All real numbers; Range: $ x \leq 17 $

Domain: $ g(x) \geq 61 $; Range: $ x \leq 17 $

The graph of a quadratic function is shown on the grid. Which statement appears to be true?

The maximum value of the function is 3.

The vertex of the graph of the function is (4, 1).

The equation of the axis of symmetry of the graph of the function is x = 1.

The graph of quadratic function r is shown on the grid. Which answer choice best represents the intercepts of the graph of r?

x-intercepts: (–10, 0) and (2, 0) y-intercept: (0, –5)

x-intercept: (5, 0) y-intercepts: (0, 10) and (0, –2)

x-intercepts: (0, –10) and (0, 2) y-intercept: (–5, 0)

x-intercept: (0, 5) y-intercepts: (10, 0) and (–2, 0)

Which answer choice describes how the graph of $$f(x) = x^2$$ was transformed to create the graph of $$n(x) = x^2 - 1$$ ?

A horizontal shift to the right

Which statement about $$f(x) = 4x^2 - 36x + 81$$ is true?

The zeros are $$\pm \frac{9}{2}$$ because $$f(x) = (2x - 9)(2x + 9)$$ .

The zeros are $$\frac{3}{4}$$ and $$-27$$ because $ f(x) = (4x - 3)(x - 27) $.

The zeros are $$-\frac{3}{2}$$ and $$\frac{27}{2}$$ because $$f(x) = (2x + 3)(2x + 27) $$ .

The only zero is $$\frac{9}{2}$$ because $$f(x) = (2x - 9)^2$$ .

Which statements are true about the domain and range of the part of the function shown?

The range is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

The domain is the set of all real numbers.

The domain is the set of all real numbers greater than or equal to 2 and less than or equal to 5.

The range is the set of all real numbers greater than or equal to 2 and less than or equal to 5.

The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

A bank account earning annual compound interest was opened, and no additional deposits or withdrawals were made after the initial deposit. The balance in the account after $$x$$ years can be modeled by $$b(x) = 850(1.025)^x$$ . Which statement is the best interpretation of one of the values in this function?

The balance in the account increases at a rate of 2.5% each year.

The initial balance of the account decreases at a rate of 97.5% each year.

The initial balance of the account was $1,025.

The balance in the account at the end of one year is $850.

w&w/o Desmos

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

PARBATI TRAN

FREE Resource

41 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$ q(x) = (9x - 4)(x - 4) $

$ q(x) = (9x + 4)(x + 4) $

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$ 3x - 4 $

$ 7x - 5 $

$ 7x + 4 $

$ 3x + 5 $

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2

-3

3

-2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$ (2x - 1)(x + 4) $

$ (2x + 1)(x - 4) $

$ (2x + 1)(x + 4) $

None of these

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through the point (3, 10)?

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of quadratic function $ h $ is shown on the grid. Which function is best represented by the graph of $ h $?

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w&w/o Desmos

41 questions

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through the point (3, 10)?

The graph of quadratic function $ h $ is shown on the grid. Which function is best represented by the graph of $ h $?

The graph shows the height in feet of an object above the ground $ t $ seconds after it was launched from the ground. Which function is best represented by the graph of this situation?

The solutions to $ p(x) = 0 $ are $ x = -7 $ and $ x = 7 $. Which quadratic function could represent $ p $?

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