MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

f(x) Transforms to f(|x|)

w/w

Question

The graph of $f (x) = x^{2} - 3 | x | + 2$ is

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
$g (x) = x^{2} - 3 x + 2 = (x - 1) (x - 2)$

$f (x) = g (| x |) = | x |^{2} - 3 | x | + 2 \Rightarrow f (x) = x^{2} - 3 | x | + 2$

Suggest Corrections

thumbs-up

0

Similar questions

Q. If w is a complex cube root of unity, show that

([\begin{matrix} 1 & w & w^{2} \\ w & w^{2} & 1 \\ w^{2} & 1 & w \end{matrix}] + [\begin{matrix} w & w^{2} & 1 \\ w^{2} & 1 & w \\ w & w^{2} & 1 \end{matrix}]) [\begin{matrix} 1 \\ w \\ w^{2} \end{matrix}] = [\begin{matrix} 0 \\ 0 \\ 0 \end{matrix}]

Multiply (w + 1) and 4w:

Q. The value of

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 + w & w^{2} & - w 1 + w^{2} & w & - w^{2} w^{2} + w & w & - w^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣

Q. The shoppers who come to a departmental store are marked as: man

(M)

(W)

(B)

(G)

. The following list gives the shoppers who came during the first hour in the morning:

W, W, W, G, B, W, W, M, G, G, M, M, W, W, W, W, G, B, M, W, B, G, G, M, W, W, M,

M, W, W, W, M, W, B, W, G, M, W, W, W, W, G, W, M, M, W, W, M, W, G, W, M, G,

W, M, M, B, G, G, W

Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.

The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning:

W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W G W M M W W M W G W M G W M M B G G W

Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

f(x) Transforms to f(|x|)

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon