for Sumi's shop
Graphing Absolute Value Functions — Easy Worksheet 2
Grade 9 · MathSheets Name: ____________________ Date: __________
Write a vertex as an ordered pair like (2, -3), an axis of symmetry like x = 2, x-intercepts like x = -1 or x = 5, and an equation like y = 2|x - 1| + 3.
How to solve
The graph of y = a|x - h| + k is a V with its vertex at (h, k). Watch the sign inside the bars: |x + 3| means h = -3. If a is positive the V opens up and k is the minimum value; if a is negative it opens down and k is the maximum. The axis of symmetry is x = h. The right-hand branch has slope a and the left-hand branch has slope -a. For the y-intercept substitute x = 0; for the x-intercepts set y = 0 and solve.
Example
What is the vertex of the absolute value graph?
Answer: (-4, 2)
✓ Correct!
Not quite. The answer is
💡 How to solve: Graphing Absolute Value Functions
The graph of y = a|x - h| + k is a V with its vertex at (h, k). Watch the sign inside the bars: |x + 3| means h = -3. If a is positive the V opens up and k is the minimum value; if a is negative it opens down and k is the maximum. The axis of symmetry is x = h. The right-hand branch has slope a and the left-hand branch has slope -a. For the y-intercept substitute x = 0; for the x-intercepts set y = 0 and solve.
Try a similar one
What is the vertex of the absolute value graph?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Graphing Absolute Value Functions
The graph of y = a|x - h| + k is a V with its vertex at (h, k). Watch the sign inside the bars: |x + 3| means h = -3. If a is positive the V opens up and k is the minimum value; if a is negative it opens down and k is the maximum. The axis of symmetry is x = h. The right-hand branch has slope a and the left-hand branch has slope -a. For the y-intercept substitute x = 0; for the x-intercepts set y = 0 and solve.
Try a similar one
What is the vertex of the absolute value graph?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Graphing Absolute Value Functions
The graph of y = a|x - h| + k is a V with its vertex at (h, k). Watch the sign inside the bars: |x + 3| means h = -3. If a is positive the V opens up and k is the minimum value; if a is negative it opens down and k is the maximum. The axis of symmetry is x = h. The right-hand branch has slope a and the left-hand branch has slope -a. For the y-intercept substitute x = 0; for the x-intercepts set y = 0 and solve.
Try a similar one
What is the vertex of the absolute value graph?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Graphing Absolute Value Functions
The graph of y = a|x - h| + k is a V with its vertex at (h, k). Watch the sign inside the bars: |x + 3| means h = -3. If a is positive the V opens up and k is the minimum value; if a is negative it opens down and k is the maximum. The axis of symmetry is x = h. The right-hand branch has slope a and the left-hand branch has slope -a. For the y-intercept substitute x = 0; for the x-intercepts set y = 0 and solve.
Try a similar one
What is the vertex of the absolute value graph?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Graphing Absolute Value Functions
The graph of y = a|x - h| + k is a V with its vertex at (h, k). Watch the sign inside the bars: |x + 3| means h = -3. If a is positive the V opens up and k is the minimum value; if a is negative it opens down and k is the maximum. The axis of symmetry is x = h. The right-hand branch has slope a and the left-hand branch has slope -a. For the y-intercept substitute x = 0; for the x-intercepts set y = 0 and solve.
Try a similar one
What is the vertex of the absolute value graph?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Graphing Absolute Value Functions
The graph of y = a|x - h| + k is a V with its vertex at (h, k). Watch the sign inside the bars: |x + 3| means h = -3. If a is positive the V opens up and k is the minimum value; if a is negative it opens down and k is the maximum. The axis of symmetry is x = h. The right-hand branch has slope a and the left-hand branch has slope -a. For the y-intercept substitute x = 0; for the x-intercepts set y = 0 and solve.
Try a similar one
What is the vertex of the absolute value graph?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Graphing Absolute Value Functions
The graph of y = a|x - h| + k is a V with its vertex at (h, k). Watch the sign inside the bars: |x + 3| means h = -3. If a is positive the V opens up and k is the minimum value; if a is negative it opens down and k is the maximum. The axis of symmetry is x = h. The right-hand branch has slope a and the left-hand branch has slope -a. For the y-intercept substitute x = 0; for the x-intercepts set y = 0 and solve.
Try a similar one
What is the vertex of the absolute value graph?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Graphing Absolute Value Functions
The graph of y = a|x - h| + k is a V with its vertex at (h, k). Watch the sign inside the bars: |x + 3| means h = -3. If a is positive the V opens up and k is the minimum value; if a is negative it opens down and k is the maximum. The axis of symmetry is x = h. The right-hand branch has slope a and the left-hand branch has slope -a. For the y-intercept substitute x = 0; for the x-intercepts set y = 0 and solve.
Try a similar one
What is the vertex of the absolute value graph?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Graphing Absolute Value Functions — Easy Worksheet 2
Write a vertex as an ordered pair like (2, -3), an axis of symmetry like x = 2, x-intercepts like x = -1 or x = 5, and an equation like y = 2|x - 1| + 3.