Compare the graph of $$g\left(x\right)=x^2-3$$ with the graph of $$f\left(x\right)=x^2$$

Both graphs open up and have the same axis of symmetry, $$x=0$$ . The vertex of the graph of $$g,\ \left(0,-3\right)$$ , is below the vertex of the graph of $$f,\ \left(0,0\right)$$ , because the graph of $$g$$ is a vertical translation 3 units down of the graph of $$f$$ .

Both graphs open down and have the same axis of symmetry, $$x=0$$ . The vertex of the graph of $$g,\ \left(0,-3\right)$$ , is below the vertex of the graph of $$f,\ \left(0,0\right)$$ , because the graph of $$g$$ is a vertical translation 3 units down of the graph of $$f$$ .

Both graphs open up and have the same axis of symmetry, $$x=0$$ . The vertex of the graph of $$g,\ \left(0,3\right)$$ , is above the vertex of the graph of $$f,\ \left(0,0\right)$$ , because the graph of $$g$$ is a vertical translation 3 units up of the graph of $$f$$ .

Integrated II - Chapter 3 Review

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

Pauline Cagle

Used 3+ times

FREE Resource

20 questions

Show all answers

1.

MATCH QUESTION

1 min • 4 pts

Identify the graph of each function.

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

4.

MATCH QUESTION

2 mins • 4 pts

5.

OPEN ENDED QUESTION

5 mins • 2 pts

Evaluate responses using AI:

OFF

6.

DRAW QUESTION

5 mins • 4 pts

7.

DROPDOWN QUESTION

5 mins • 2 pts

maximum

minimum

1

3

2

-3

-2

-1

0

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