The function f(x) = x^2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)? g(x) = (x - 7)^2 - 3 g(x) = (x + 7)^2 - 3 g(x) = (x - 3)^2 - 7 g(x) = (x - 3)^2 + 7
Added by Steve C.
Step 1
To do this, we replace x with (x + 7) in the original function f(x) = x^2. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Gaurav Gupta and 74 other Algebra 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
For functions $\quad f(x)=2 x-7$ $g(x)=2 x+7,$ find (a) $(f \cdot g)(x)$ (b) $(f \cdot g)(-3)$
Polynomials and Polynomial Functions
Multiply Polynomials
Find $g \circ f$ and $f^{\circ} g$ for the given functions $f$ and $g .$ $$f(x)=2 x-7, \quad g(x)=3 x+2$$
Functions and Graphs
The Algebra of Functions
Let $f: R \rightarrow R, g: R \rightarrow R$ be two functions given by $f(x)=2 x-3, g(x)=x^{3}+5$. Then $(f o g)^{-1}(x)$ is equal to (A) $\left(\frac{x-7}{2}\right)^{1}$ (B) $\left(\frac{x+7}{2}\right)^{1}$ (C) $\left(x-\frac{7}{2}\right)^{1 / 3}$ (D) $\left(\frac{x-2}{7}\right)^{1 / 3}$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD