Question

this is a graph of which function?

a. (f(x) = x^2 + 4)
b. (f(x) = x^2 - 7)
c. (f(x) = \frac{1}{2}x^2 + 2)
d. (f(x) = -x^2 - 3)
e. (f(x) = -2x^2 + 4)

Explanation:

Identify the parabola direction

Using the Parabola Direction and Leading Coefficient knowledge points

$$
LATEXBLOCK0
$$

Locate the vertex

Using the Parabola Vertex Identification and Quadratic Functions knowledge points

$$
LATEXBLOCK1
$$

Test points to find the leading coefficient

Using the Quadratic Functions knowledge point

$$
LATEXBLOCK2
$$

Answer:

• a. \(f(x) = x^2 + 4\) (Correct answer)
• b. \(f(x) = x^2 - 7\)
• c. \(f(x) = \frac{1}{2}x^2 + 2\)
• d. \(f(x) = -x^2 - 3\)
• e. \(f(x) = -2x^2 + 4\)