Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Which statement is true about [tex][tex]\( f(x) = -\frac{2}{3} |x+4| - 6 \)[/tex][/tex]?

A. The graph of [tex][tex]\( f(x) \)[/tex][/tex] has a vertex of [tex][tex]\((-4, 6)\)[/tex][/tex].
B. The graph of [tex][tex]\( f(x) \)[/tex][/tex] is a horizontal stretch of the graph of the parent function.
C. The graph of [tex][tex]\( f(x) \)[/tex][/tex] opens upward.
D. The graph of [tex][tex]\( f(x) \)[/tex][/tex] has a domain of [tex][tex]\( x \leq -6 \)[/tex][/tex].

Which Statement Is True About Textex Fx Frac23 X4 6 TextexA The Graph Of Textex Fx Textex Has A Vertex Of Textex4 6textexB The Graph Of Textex Fx Textex Is A Ho class=

Sagot :

Answer: C

Step-by-step explanation:

japtc

Answer:

The correct statement is B. The graph of [tex]f(x)=−

3

2

∣x+4∣−6 [/tex] is a horizontal stretch of the graph of the parent function.

Explanation:

[tex]f(x)=−

3

2

∣x+4∣−6 [/tex] is an absolute value function that has been horizontally stretched by a factor of 2/3 and vertically shifted down by 6 units.

The vertex of the graph is at (-4, -6), not (−4, 6) as stated in option A.

The graph opens downward, not upward as stated in option C.

The domain of the function is all real numbers, not [tex]x≤−6 [/tex] as stated in option D.

Therefore, the correct statement is that the graph is a horizontal stretch of the parent absolute value function.

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.