Which function does this graph represent? A. \( f(x)=3(x+1)^{2}+2 \) B. \( f(x)=-3(x+1)^{2}+2 \) C. \( f(x)=-3(x+1)^{2}-2 \) D. \( f(x)=3(x-1)^{2}+2 \)
Added by Robert T.
Close
Step 1
The parabola opens downwards, which means the coefficient of the quadratic term \((x-h)^2\) must be negative. This eliminates options A and D, which have positive coefficients. Show more…
Show all steps
Your feedback will help us improve your experience
Tim Thornhill and 93 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
Which of the specified functions might have the given graph? (A) $f(x)=-x(x+2)(2-x)$ (B) $f(x)=-x(x+2)(x-2)$ (C) $f(x)=-x^{2}(x+2)(x-2)$ (D) $f(x)=-x(x+2)^{2}(x-2)$ (E) $f(x)=-x(x+2)(x-2)^{2}$
Polynomial, Power, and Rational Functions
Polynomial Functions of Higher Degree with Modeling
Determine which of the given functions is shown in the accompanying graph. a. $f(x)=(x+3)(x+1)(x-1)$ b. $f(x)=(x-3)\left(x^{2}-1\right)$ c. $f(x)=\frac{2}{3}(x+3)(x+1)(x-1)$ d. $f(x)=-\frac{2}{3}(x+3)\left(x^{2}-1\right)$ (FIGURE CAN'T COPY)
Polynomial and Rational Functions
Graphs of Polynomial Functions
If $(-2,3)$ is a point on the graph of a one-to-one function $f$ which of the following points is on the graph of $f^{-1} ?$ $$ \begin{array}{llll}{\text { (a) }(3,-2)} & {\text { (b) }(2,-3)} & {\text { (c) }(-3,2)} & {\text { (d) }(-2,-3)}\end{array} $$
Exponential and Logarithmic Functions
One-to-One Functions; Inverse Functions
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD