1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Diano4ka-milaya [45]
1 year ago
15

The graphs below are both absolute value functions. The equation of the redgraph is f(x) = |xl. Which of these is the equation o

f the blue graph, g(x)?f(x) = x 1y5-g(x) = ?-55O A. g(x) = ZHB. g(x) = (x - 21C. g(x) = 5x + 21D. g(x) = 2x
Mathematics
1 answer:
grigory [225]1 year ago
3 0

ANSWER

\Rightarrow y=\frac{1}{2}|x|

EXPLANATION

We want to find the absolute value function for the line in blue.

The general form of an absolute value function is:

y=a|x-h|+k

where (h, k) = vertex

From the line, the vertex of the graph in blue is:

(0,0)

To find a, we have to pick a point (x, y) on the line and input it into the general function.

Let us pick (2, 1).

Therefore, we have:

\begin{gathered} 1=a|2-0|+0 \\ 1=a|2|=2a \\ \Rightarrow a=\frac{1}{2} \end{gathered}

Therefore, the absolute value function is:

\begin{gathered} y=\frac{1}{2}|x-0|+0 \\ \Rightarrow y=\frac{1}{2}|x| \end{gathered}

You might be interested in
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of
Mrrafil [7]

Answer:

\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be (x_1,y_1)\,,\,(x_2,y_2) such that the point p(x,y) divides KJ in ratio m:n

Then coordinates of point  P are given by \left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )

Take m:n=3:5

So,

coordinates of point P = \left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

7 0
3 years ago
Please help me thanks please
iragen [17]

\lim_{n \to \infty} a_n uuuuuuuuuuuuuuuuuuuuuuu

6 0
2 years ago
Complementary angles always sum to _____.
dmitriy555 [2]
The answer is:  90° .
______________________________________________________
5 0
3 years ago
Read 2 more answers
Explain why triangle abc is similar to triangle ade.
mihalych1998 [28]

Answer:

They are both right triangles

Step-by-step explanation:

The triangles are both the same shape but one is bigger than the other.

5 0
3 years ago
Copy and complete the statement using <,>,= |-11 |-10|
EleoNora [17]
|-11| > |-10|
this is because the absolute value is always a positive number. therefore, it is really 11 > 10.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Can I please get some help on these 2 problems? Thank you. pictures attached.
    12·1 answer
  • Which method is the most efficient method to use to solve 2x^2+4x-3=0?
    15·1 answer
  • A ball falls 350 centimeters. Is it positive or negative? (Sorry I've been asking these a lot just want to make sure I'm getting
    11·2 answers
  • June’s health insurance policy requires a copayment of $35 for each office visit and a copayment of $25 for each of her prescrip
    9·1 answer
  • Do you round 943 up or down
    10·2 answers
  • Write the equation in general form for the line passing through (-4,-3) and parallel to the line whose intercepts are (0,2) and
    6·1 answer
  • A submarie is 671 feet below
    8·1 answer
  • Jacob earned $80 babysitting and deposited the money into his savings account. The next week he spent $85 on video games. Use in
    7·1 answer
  • A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining at least three tails on the losses
    15·1 answer
  • What is 1/4+1/6=<br> Please help me I’ll make the first person Brainiest
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!