Question 1

Which of the following equations would graph as a straight line on the coordinate plane shown in the image?

Accepted Answer

$$y = 3x + 2$$

Question 2

Given the graph paper shown, which method is NOT typically used to graph a linear equation such as $$3x + 2y = 12$$?

Accepted Answer

Finding the vertex and axis of symmetry

Question 3

If you were to graph $$y = x^2$ - 4 on $$the provided coordinate plane, what would be the coordinates of the vertex?

Accepted Answer

$$(0, -4)$$

Question 4

Which of the following best describes the graph of $$y = x^2$ - 4 on $$the given grid?

Accepted Answer

A parabola opening upwards

Question 5

Suppose you plot the points $$(-3, -5)$$ and $$(5, -2) on $$the grid. What is the distance between these two points?

Accepted Answer

$$d = \sqrt{(5 - (-3))^2$ + ((-2) - (-5))^2$} = \sqrt{8^2$ + 3^2$} = \sqrt{64 + 9} = \sqrt{73}$$

Question 6

Which of the following statements is TRUE about the graph of $$y = 3x + 2 on $$the coordinate plane?

Accepted Answer

It passes through the point $$(0, 2)$$

Question 7

If you want to find the midpoint between the points $$(4, -9)$$ and $$(-12, -3) on $$the grid, which formula would you use?

Accepted Answer

$$\left( \frac{4 + (-12)}{2}, \frac{-9 + (-3)}{2} \right)$$

Question 8

Which of the following is the correct slope-intercept form for the equation $$3x + 2y = 12$$?

Accepted Answer

$$y = -\frac{3}{2}x + 6$$

Question 9

If you plot the ordered pair $$(2, 3) on $$the grid, is it a solution to $$3x + 2y = 12$$?

Accepted Answer

Yes, because $$3(2) + 2(3) = 6 + 6 = 12$$

Question 10

Which of the following best describes the domain of the function $$f(x) = x^2$ - 4$$?

Accepted Answer

All real numbers

Introduction to Graphing and Functions in Precalculus

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