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:

Which of the following sequences of transformations will carry hexagon A onto hexagon B A. Reflect hexagon A over the x-axis, rotate it 180^(@) about the origin, and translate it 4 units to the left. B. Rotate hexagon A90^(@) clockwise about the point (-2,-4), rotate it 180^(@) about the point (4,-2), and translate it 4 units t C. Reflect hexagon A over the x-axis, rotate it 90^(@) clockwise about the origin, and translate it 4 units to the right. D. Rotate hexagon A90^(@) counterclockwise about the origin, rotate it 180^(@) about the point (4,-2), and translate it 4 units

Which of the following sequences of transformations will carry hexagon A A onto hexagon B B \newlineA. Reflect hexagon A A over the x x -axis, rotate it 180∘ 180^{\circ} about the origin, and translate it 44 units to the left.\newlineB. Rotate hexagon A90∘ \mathrm{A} 90^{\circ} clockwise about the point (−2,−4) (-2,-4) , rotate it 180∘ 180^{\circ} about the point (4,−2) (4,-2) , and translate it 44 units t\newlineC. Reflect hexagon A A over the x x -axis, rotate it B B 11 clockwise about the origin, and translate it 44 units to the right.\newlineD. Rotate hexagon A90∘ \mathrm{A} 90^{\circ} counterclockwise about the origin, rotate it 180∘ 180^{\circ} about the point (4,−2) (4,-2) , and translate it 44 units

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Function transformation rulesright chevron icon

Full solution

Q. Which of the following sequences of transformations will carry hexagon A A onto hexagon B B \newlineA. Reflect hexagon A A over the x x -axis, rotate it 180∘ 180^{\circ} about the origin, and translate it 44 units to the left.\newlineB. Rotate hexagon A90∘ \mathrm{A} 90^{\circ} clockwise about the point (−2,−4) (-2,-4) , rotate it 180∘ 180^{\circ} about the point (4,−2) (4,-2) , and translate it 44 units t\newlineC. Reflect hexagon A A over the x x -axis, rotate it B B 11 clockwise about the origin, and translate it 44 units to the right.\newlineD. Rotate hexagon A90∘ \mathrm{A} 90^{\circ} counterclockwise about the origin, rotate it 180∘ 180^{\circ} about the point (4,−2) (4,-2) , and translate it 44 units
  1. Reflect, Rotate, Translate: Choice A: Reflect over xx-axis, rotate 180180 degrees about origin, translate 44 units left.\newlineReflecting over the xx-axis flips the hexagon vertically. Rotating 180180 degrees about the origin turns the hexagon upside down. Translating 44 units left shifts the hexagon horizontally.
  2. Rotate Clockwise, Rotate, Translate: Choice B: Rotate 9090 degrees clockwise about (−2,−4)(-2,-4), rotate 180180 degrees about (4,−2)(4,-2), translate 44 units.\newlineRotating 9090 degrees clockwise about a point changes the orientation of the hexagon. Rotating 180180 degrees about a different point flips the hexagon upside down. Translating 44 units is incomplete, direction is not specified.

More problems from Function transformation rules

Question
Find g(x)g(x), where g(x)g(x) is the reflection across the x-axis of f(x)=9∣x+2∣−4f(x)=9|x+2|-4.\newlineChoices:\newline(A)g(x)=9∣x+2∣−4]\text{}(A)g(x) = 9|x+2| - 4\text{]}\newline(B)g(x)=9∣x−2∣−4]\text{}(B)g(x) = 9|x-2| - 4\text{]}\newline(C)g(x)=−9∣x−2∣+4]\text{}(C)g(x)=-9|x-2| +4\text{]}\newline(D)g(x)=−9∣x+2∣+4]\text{(D)}g(x) = -9|x + 2| + 4\text{]}
Get tutor helpright-arrow

Posted 2 months ago

Question
What does the transformation f(x)↦f(x−4) f(x) \mapsto f(x - 4) do to the graph of f(x) f(x) ?\newlineChoices:\newline(A) translates it 4 units right\text{translates it } 4 \text{ units right}\newline(B) translates it 4 units down\text{translates it } 4 \text{ units down}\newline(C) translates it 4 units left\text{translates it } 4 \text{ units left}\newline(D) translates it 4 units up\text{translates it } 4 \text{ units up}
Get tutor helpright-arrow

Posted 2 months ago

Question
What does the transformation f(x)↦f(4x) f(x) \mapsto f(4x) do to the graph of f(x) f(x) ?\newlineChoices:\newline[A] stretches it vertically\newline[B] stretches it horizontally\newline[C]shrinks it horizontally\newline[D]shrinks it vertically
Get tutor helpright-arrow

Posted 1 month ago

Question
Find g(x)g(x), where g(x)g(x) is the translation 99 units down of f(x)=10x+8f(x) = 10x + 8.\newlineChoices:\newline(A) g(x)=10x−82g(x) = 10x - 82 \newline(B) g(x)=10x+98g(x) = 10x + 98 \newline(C) g(x)=10x−1g(x) = 10x - 1\newline(D) g(x)=10x+17g(x) = 10x + 17
Get tutor helpright-arrow

Posted 2 months ago

Question
What kind of transformation converts the graph of f(x)=−3x2−4 f(x) = -3x^2 - 4 into the graph of g(x)=−3x2+6 g(x) = -3x^2 + 6 ?\newlineChoices:\newline[A]translation 10 units up \text{[A]translation 10 units up} \newline[B]translation 10 units down \text{[B]translation 10 units down} \newline[C]translation 10 units left \text{[C]translation 10 units left} \newline[D]translation 10 units right \text{[D]translation 10 units right}
Get tutor helpright-arrow

Posted 1 month ago

Question
The parabola y=x2y=x^{2} is scaled vertically by a factor of 77. What is the equation of the new parabola?\newliney=y=
Get tutor helpright-arrow

Posted 4 months ago

Question
The parabola y=x2y=x^{2} is shifted down by 66 units and to the right by 55 units.\newlineWhat is the equation of the new parabola?\newliney=y=
Get tutor helpright-arrow

Posted 4 months ago

Question
The parabola y=x2y=x^{2} is shifted up by 22 units and to the right by 33 units.\newlineWhat is the equation of the new parabola?\newliney=y=
Get tutor helpright-arrow

Posted 1 month ago

Question
The parabola y=x2 y=x^{2} is reflected across the x x -axis and then scaled vertically by a factor of 55 .\newlineWhat is the equation of the new parabola?\newliney=□ y=\square
Get tutor helpright-arrow

Posted 2 months ago

Question
The parabola y=x2 y=x^{2} is scaled vertically by a factor of 110 \frac{1}{10} .\newlineWhat is the equation of the new parabola?\newliney= y=
Get tutor helpright-arrow

Posted 3 months ago

View all (18)