Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

5 point
The image of point
P(2,3) if reflected as far as
y=3 will be...
A.
P^(')(2,3)
B.
P^(')(2,2)
C.
P^(')(2,5)
D.
P^(')(2,4)
A
B
C
D

$5$ point $\newline$ The image of point $\mathrm{P}(2,3)$ if reflected as far as $\mathrm{y}=3$ will be... $\newline$ A. $\mathrm{P}^{\prime}(2,3)$ $\newline$ B. $\mathrm{P}^{\prime}(2,2)$ $\newline$ C. $\mathrm{P}^{\prime}(2,5)$ $\newline$ D. $\mathrm{P}^{\prime}(2,4)$ $\newline$ A $\newline$ B $\newline$ C $\newline$ D

View step-by-step help

View step-by-step help

Reflections of functions

Full solution

Q.

5

point

\newline

The image of point

\mathrm{P}(2,3)

if reflected as far as

\mathrm{y}=3

will be...

\newline

A.

\mathrm{P}^{\prime}(2,3)

\newline

B.

\mathrm{P}^{\prime}(2,2)

\newline

C.

\mathrm{P}^{\prime}(2,5)

\newline

D.

\mathrm{P}^{\prime}(2,4)

\newline

A

\newline

B

\newline

C

\newline

D

Reflect point $P(2,3)$ : Reflect point $P(2,3)$ across the line $y=3$ . Since the point is on the line of reflection, it will not move.
Find reflected point $P'(x',y')$ : The reflected point $P'(x',y')$ will have the same coordinates as the original point $P(2,3)$ . So, $P'(2,3)$ .

More problems from Reflections of functions

Question

g(x)

g(x)

is the reflection across the x-axis of

f(x)=9|x+2|-4

\newline

\newline

\text{}(A)g(x) = 9|x+2| - 4\text{]}

\newline

\text{}(B)g(x) = 9|x-2| - 4\text{]}

\newline

\text{}(C)g(x)=-9|x-2| +4\text{]}

\newline

\text{(D)}g(x) = -9|x + 2| + 4\text{]}

Posted 3 months ago

Question

What does the transformation

f(x) \mapsto f(x - 4)

do to the graph of

f(x)

\newline

\newline

\text{translates it } 4 \text{ units right}

\newline

\text{translates it } 4 \text{ units down}

\newline

\text{translates it } 4 \text{ units left}

\newline

\text{translates it } 4 \text{ units up}

Posted 3 months ago

Question

What does the transformation

f(x) \mapsto f(4x)

do to the graph of

f(x)

\newline

\newline

[A] stretches it vertically

\newline

[B] stretches it horizontally

\newline

[C]shrinks it horizontally

\newline

[D]shrinks it vertically

Posted 2 months ago

Question

g(x)

g(x)

is the translation

9

f(x) = 10x + 8

\newline

\newline

g(x) = 10x - 82

\newline

g(x) = 10x + 98

\newline

g(x) = 10x - 1

\newline

g(x) = 10x + 17

Posted 3 months ago

Question

What kind of transformation converts the graph of

f(x) = -3x^2 - 4

into the graph of

g(x) = -3x^2 + 6

\newline

\newline

\text{[A]translation 10 units up}

\newline

\text{[B]translation 10 units down}

\newline

\text{[C]translation 10 units left}

\newline

\text{[D]translation 10 units right}

Posted 2 months ago

Question

y=x^{2}

is scaled vertically by a factor of

7

. What is the equation of the new parabola?

\newline

y=

Posted 4 months ago

Question

y=x^{2}

is shifted down by

6

units and to the right by

5

\newline

What is the equation of the new parabola?

\newline

y=

Posted 4 months ago

Question

y=x^{2}

is shifted up by

2

units and to the right by

3

\newline

What is the equation of the new parabola?

\newline

y=

Posted 2 months ago

Question

y=x^{2}

is reflected across the

x

-axis and then scaled vertically by a factor of

5

\newline

What is the equation of the new parabola?

\newline

y=\square

Posted 2 months ago

Question

y=x^{2}

is scaled vertically by a factor of

\frac{1}{10}

\newline

What is the equation of the new parabola?

\newline

y=

Posted 3 months ago