Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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 your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.