Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What kind of transformation converts the graph of f(x)=8∣x−2∣−7 f(x) = 8|x - 2| - 7 into the graph of g(x)=8∣x+2∣+2 g(x) = 8|x + 2| + 2 ?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Transformations of functionsright chevron icon

Full solution

Just a sec, we’re working out the solution to your problem...

Bytelearn - Loading gif

More problems from Transformations of functions

Question
Rakesh tried to solve the differential equation dydx=2y⋅cos⁡(x) \frac{d y}{d x}=2 y \cdot \cos (x) . This is his work:\newlinedydx=2y⋅cos⁡(x) \frac{d y}{d x}=2 y \cdot \cos (x) \newlineStep 11: ∫1ydy=∫2cos⁡(x)dx \quad \int \frac{1}{y} d y=\int 2 \cos (x) d x \newlineStep 22: ln⁡∣y∣=2sin⁡(x) \quad \ln |y|=2 \sin (x) \newlineStep 33: eln⁡∣y∣=e2sin⁡(x) \quad e^{\ln |y|}=e^{2 \sin (x)} \newlineStep 44: ∣y∣=e2sin⁡(x) \quad|y|=e^{2 \sin (x)} \newlineStep 55: y=±e2sin⁡(x)+C \quad y= \pm e^{2 \sin (x)}+C \newlineIs Rakesh's work correct? If not, what is his mistake?\newlineChoose 11 answer:\newline(A) Rakesh's work is correct.\newline(B) Step 11 is incorrect. The separation of variables wasn't done correctly.\newline(C) Step 22 is incorrect. The right-hand side of the equation should be 2sin⁡(x)+C 2 \sin (x)+C .\newline(D) Step 44 is incorrect. eln⁡∣y∣ e^{\ln |y|} isn't equal to ∣y∣ |y| .
Get tutor helpright-arrow

Posted 9 months ago

Question
What kind of transformation converts the graph of f(x)=−8(x+5)2−10f(x) = -8(x + 5)^2 - 10 into the graph of g(x)=−8(x+4)2−10g(x) = -8(x + 4)^2 - 10?\newlineChoices:\newline(A) translation 11 unit up\newline(B) translation 11 unit left\newline(C) translation 11 unit right\newline(D) translation 11 unit down
Get tutor helpright-arrow

Posted 8 months ago

Question
What kind of transformation converts the graph of f(x)=(x+7)2+3f(x) = (x + 7)^2 + 3 into the graph of g(x)=(x+7)2+1g(x) = (x + 7)^2 + 1?\newlineChoices:\newline(A) translation 22 units up\newline(B) translation 22 units left\newline(C) translation 22 units down\newline(D) translation 22 units right
Get tutor helpright-arrow

Posted 8 months ago

Question
What kind of transformation converts the graph of f(x)=4∣x−5∣+9f(x) = 4|x - 5| + 9 into the graph of g(x)=4∣x−6∣+9g(x) = 4|x - 6| + 9?\newlineChoices:\newline(A) translation 11 unit up\newline(B) translation 11 unit down\newline(C) translation 11 unit right\newline(D) translation 11 unit left
Get tutor helpright-arrow

Posted 8 months ago

Question
What kind of transformation converts the graph of f(x)=−9∣x−7∣+4f(x) = -9|x - 7| + 4 into the graph of g(x)=−9∣x−7∣+8g(x) = -9|x - 7| + 8?\newlineChoices:\newline(A) translation 44 units down\newline(B) translation 44 units right\newline(C) translation 44 units left\newline(D) translation 44 units up
Get tutor helpright-arrow

Posted 8 months ago

Question
What kind of transformation converts the graph of f(x)=6(x+2)2+2f(x) = 6(x + 2)^2 + 2 into the graph of g(x)=6(x+3)2+2g(x) = 6(x + 3)^2 + 2?\newlineChoices:\newline(A) translation 11 unit left\newline(B) translation 11 unit right\newline(C) translation 11 unit down\newline(D) translation 11 unit up
Get tutor helpright-arrow

Posted 8 months ago

Question
What kind of transformation converts the graph of f(x)=−4∣x−7∣+10f(x) = -4|x - 7| + 10 into the graph of g(x)=−4∣x−8∣+10g(x) = -4|x - 8| + 10?\newlineChoices:\newline(A) translation 11 unit left\newline(B) translation 11 unit down\newline(C) translation 11 unit right\newline(D) translation 11 unit up
Get tutor helpright-arrow

Posted 8 months ago

Question
What kind of transformation converts the graph of f(x)=−7(x−9)2f(x) = -7(x - 9)^2 into the graph of g(x)=−7(x−9)2−5g(x) = -7(x - 9)^2 - 5?\newlineChoices:\newline(A) translation 55 units up\newline(B) translation 55 units right\newline(C) translation 55 units down\newline(D) translation 55 units left
Get tutor helpright-arrow

Posted 8 months ago

Question
What kind of transformation converts the graph of f(x)=8(x+3)2−4f(x) = 8(x + 3)^2 - 4 into the graph of g(x)=8(x+3)2−8g(x) = 8(x + 3)^2 - 8?\newlineChoices:\newline(A) translation 44 units right\newline(B) translation 44 units left\newline(C) translation 44 units down\newline(D) translation 44 units up
Get tutor helpright-arrow

Posted 8 months ago

Question
What kind of transformation converts the graph of f(x)=−10∣x+6∣−5f(x) = -10|x + 6| - 5 into the graph of g(x)=−10∣x+6∣+3g(x) = -10|x + 6| + 3?\newlineChoices:\newline(A) translation 88 units right\newline(B) translation 88 units down\newline(C) translation 88 units left\newline(D) translation 88 units up
Get tutor helpright-arrow

Posted 8 months ago

View all (5)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant