Question 1

Which of the following equations best matches the graph shown in Image 1 (the first image with a curve starting at the origin and increasing to the right)?

Accepted Answer

$$y = \sqrt{x}$$

Question 2

Which function corresponds to the graph shown in Image 2 (the V-shaped graph with its vertex at the origin)?

Accepted Answer

$$y = |x|$$

Question 3

Given the graph in Image 4 (a parabola opening upwards with its vertex at $$(-5, 0)$$), which equation best represents this function?

Accepted Answer

$$y = (x + 5)^2$

Question 4

Which transformation has been applied to the basic quadratic function $$y = x^2$ to obtain the graph in Image 5 (a parabola opening upwards with its vertex at (0$$, -5)$$)?

Accepted Answer

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

Question 5

Which of the following equations best matches the graph in Image 6 (a parabola opening upwards with its vertex at $$(5, 0)$$)?

Accepted Answer

$$y = (x - 5)^2$

Question 6

The graph in Image 7 shows a parabola opening upwards with its vertex at $$(0, 7). $$Which equation best represents this function?

Accepted Answer

$$y = x^2$ + 7$$

Question 7

Which of the following equations best matches the graph in Image 9 (a square root function starting at $$(6, -7)$$ and increasing to the right)?

Accepted Answer

$$y = \sqrt{x - 6} - 7$$

Question 8

Given the graph in Image 10 (a square root function starting at $$(-6, 7)$$ and increasing to the right), which equation best represents this function?

Accepted Answer

$$y = \sqrt{x + 6} + 7$$

Question 9

Which of the following equations best matches the graph in Image 11 (a square root function starting at $$(6, 7)$$ and decreasing to the right)?

Accepted Answer

$$y = -\sqrt{x - 6} + 7$$

Question 10

Given the graph in Image 12 (a square root function starting at $$(-6, -7)$$ and increasing to the right), which equation best represents this function?

Accepted Answer

$$y = \sqrt{x + 6} - 7$$

Question 11

The graph in Image 14 shows a parabola opening upwards with its vertex at the origin and a vertical stretch. Which equation best matches this graph?

Accepted Answer

$$y = 2x^2$

Question 12

Which of the following equations best matches the graph in Image 17 (a parabola opening downwards with its vertex at the origin and a vertical stretch)?

Accepted Answer

$$y = -2x^2$

Guided Practice: Matching Functions to Their Graphs and Transformations

Study Guide - Practice Questions

Study Guide - Flashcards