Question

Which of the following is the graph of equation $f\left(x\right)=2\left|x-4\right|-3$

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The correct option is D

Explanation for the correct answer:

Finding the graph of equation $f\left(x\right)=2\left|x-4\right|-3$

We have four graphs and an equation.

We have to find the correct graph.

From graph $\left(D\right)$, we have the coordinates as $(4,-3)$

Putting coordinates in the equations, we have

$$\begin{gathered} f\left(x\right)=\left|2x-4\right|-3 \\ =2\left|4-4\right|-3 \\ \Rightarrow f\left(x\right)=-3 \end{gathered}$$

Since, coordinates of graph $\left(D\right)$ are satisfying the equation$f\left(x\right)=\left|2x-4\right|-3$

Hence, the correct answer is option $\left(D\right)$