anonymous
  • anonymous
In the standard form of the absolute value function, f(x) = a|x − h| + k, what is the significance of coefficient a? (A)It determines which point will be the vertex of the graph. (B)It determines whether the graph is V-shaped, U-shaped, or a straight line. (C)It determines the distance of the vertex from the x-axis. (D)It determines the width of the graph.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
For the moment u can eliminate A and C
anonymous
  • anonymous
The problem with that is the function can never be U shaped, it can be a line and a V however
anonymous
  • anonymous
Can you change it?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
I THINK ITS B"
marinos
  • marinos
The answer is (B) and (D). The vertex of the graph of the absolute value function \[f(x)=a|x-h|+k\] is the point \[(h,k)\] and hence the he distance of the vertex from the x-axis is equal to \[|h|\] Neither of these depend on the value of \[a\], therefore we can eliminate choices (A) and (C). Now, depending on the sign of \[a\], the graph is V-shaped if \[a>0\], Λ-shaped if \[a>0\] and a straight (horizontal) line if \[a=0\] Interpreting Λ-shape as an "upside-down" V-shape, choice (B) is correct. (Note that the graph can never be U-shaped; however choice (B) is still valid, since we can have no values of the coefficient determining the U-shape, which is vacuously true.) Finally, the "width" of the graph in the case of the standard form of the) absolute value function makes sense only in comparison with the "width" of the graph of another absolute value function. We can normalize the notion of "width" with respect to the (simple) absolute value function \[y=|x|\] Thus, compared to the width of the latter, the graph of \[f(x)\] is wider if \[|a|>1\], narrower if \[|a|<1\] or has the same width if \[|a|=1\] Therefore, choice (D) is a correct answer.

Looking for something else?

Not the answer you are looking for? Search for more explanations.