The graph of the function f(x) = x^2 is shown below. Draw the graph of g by reflecting the graph of f about the x-axis, and then shift up 1 and right 3. Lastly, write the formula for the function g(x) below. Write the formula for g(x) below. Be sure to use proper function notation.
Added by Carla L.
Close
Step 1
Reflecting the graph of f about the X-axis: This means that we flip the graph upside down. So, the points (1,2), (2,2), (-1,-2), (-2,-2) will become (1,-2), (2,-2), (-1,2), (-2,2), respectively. Show more…
Show all steps
Your feedback will help us improve your experience
Gregory Higby and 74 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The graphs of two functions f and g are shown below. Define a function formula for f using the function g. In other words, express the outputs of f in terms of the outputs of g. f(x) = -g(x) - 2 f(x) = g(x) + 2 f(x) = -g(x - 2) f(x) = g(x - 2) f(x) = -g(x + 2)
Yujie W.
Refer to graphs at the right. Find each function value. a. $(f+g)(-5)$ b. $(f-g)(3)$ c. $(f \cdot g)(-3)$
Exponential and Logarithmic Functions
Algebra and Composition of Functions
Find the function $g$ whose graph can be obtained by translating the graph of $f(x)=2 x+5$ up 2 units and to the left 3 units.
Graphs and Functions
Graphing Techniques
Recommended Textbooks
Precalculus with Limits
Precalculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD