Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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.

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.