Question 1

Which quadrant would the point $$(-3, 4) be $$located in on the coordinate plane shown?

Accepted Answer

Quadrant II

Question 2

If a function $$f(x) is $$graphed on this coordinate plane and passes through the origin $$(0,0)$$ and the point $$(2,4)$$, what is the slope of the line?

Accepted Answer

$$2$$

Question 3

A company models its profit with the equation $$P(x) = 3x - 5. If$$ $$x is $$the number of units sold, what is the $$y-$$intercept of this function on the graph?

Accepted Answer

$$-5$$

Question 4

Which of the following equations represents a line parallel to the $$x-$$axis on this graph?

Accepted Answer

$$y = 2$$

Question 5

If you reflect the point $$(5, -2)$$ over the $$y-$$axis, what are the coordinates of the new point?

Accepted Answer

$$(-5, -2)$$

Question 6

A circle is centered at the origin with radius $$4. $$Which equation represents this circle on the graph?

Accepted Answer

$$x^2$$ + $$y^2 = 16$

Question 7

Which transformation moves the graph of $$y = x^2$ two units to the right?

Accepted Answer

$$y = (x-2)^2$

Question 8

If a line passes through the points $$(1,2)$$ and $$(3,6)$$, what is the equation of the line in slope-intercept form?

Accepted Answer

$$y = 2x$$

Question 9

A real-world scenario: The temperature $$T (in $$degrees Celsius) at time $$t (in $$hours) is modeled by $$T(t) = -2t + 20. $$What is the temperature after $$5$$ hours?

Accepted Answer

$$10$$

Question 10

Which of the following best describes the graph of $$y = |x|$$?

Accepted Answer

A V-shaped graph opening upwards

Question 11

If the graph of $$y = f(x) is $$reflected over the $$x-$$axis, what is the equation of the new graph?

Accepted Answer

$$y = -f(x)$$

Question 12

A business's cost function is $$C(x) = 5x + 100. $$What does the $$100$$ represent in this context?

Accepted Answer

Fixed costs

Question 13

Which of the following points lies on the line $$y = -x + 3$$?

Accepted Answer

$$(2, 1)$$

Question 14

If the graph of $$y = x^2$ is shifted up by 3$ units, what is the new equation?

Accepted Answer

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

Question 15

A population grows according to $$P(t) = 1000(1.05)^t. $$What is the population after $$2$$ years?

Accepted Answer

$$1102.5$$

Introduction to the Cartesian Coordinate System and Graphs

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