Reflect Function About y-Axis: f(-x)
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- Reflecting a Function About the yyy-Axis In the previous lesson, we saw the function transformation of reflecting a function about the xxx-axis, where y=−f(x)y=-f(x)y=−f(x). In …
By Anusha Rahman
- Horizontal Reflection The next lesson in function transformations is when you can horizontally reflect an image across the yyy-axis. When we are doing a horizontal reflection, t…
By Anusha Rahman
- Reflect a Line oVer the Y-Axis by Brian McLogan In this video by Brian McLogan, you will learn how to reflect a line over the y-axis, which you can apply to other functions.
By Anusha Rahman
Problems 22
- The graph of y=x2+5xy = x^2 + 5xy=x2+5x is reflected about the yyy-axis. What is the equation for the new graph?
- The graph of y=x3+2xy = x^3 + 2^xy=x3+2x is reflected about the yyy-axis. What is the equation for the new graph?
- Let fff be a function. Which of these expressions is equal to f(x)f(x)f(x) when reflected about the yyy-axis?
- Mark all equations below whose graphs can be obtained from the graph of y=x2+2x+1y = x^2 + 2x + 1y=x2+2x+1, by a combination of horizontal scalings and/or reflections about the …
- If f(x)f(x)f(x) is a convex (concave up) function, which of the functions listed below must also be convex? Select all that apply.
- True or False: When you reflect the point (1,5)(1,5)(1,5) about the yyy-axis, the new point is (−1,−5)(-1,-5)(−1,−5).
- A point (x,y)(x,y)(x,y) where xxx and yyy are both non-zero, is reflected over the yyy-axis. What is the new point?
- Given the function f(x)=x3+9x+1f(x)=x^3+9x+1f(x)=x3+9x+1, find g(1)g(1)g(1) if g(x)g(x)g(x) is the function of f(x)f(x)f(x) reflected about the yyy-axis.
- The point DDD whose coordinates are (3,3)(3,3)(3,3) is reflected over the yyy-axis. What is the new point?
- f(x)f(x)f(x) is a linear line that passes through the points (1,3)(1,3)(1,3) and (3,9)(3, 9)(3,9). If g(x)g(x)g(x) is the reflection of f(x)f(x)f(x) over the yyy-axis, what is t…
- Given the function f(x)=∣x2+x∣f(x)= |x^2+x|f(x)=∣x2+x∣, find g(5)g(5)g(5) if g(x)g(x)g(x) is the function of f(x)f(x)f(x) reflected about the yyy-axis.
- Given the function f(x)=4x3+6x−10f(x)= 4x^3+6x-10f(x)=4x3+6x−10, find g(−1)g(-1)g(−1) if g(x)g(x)g(x) is the function of f(x)f(x)f(x) reflected about the yyy-axis.
- Given the function f(x)=x3+12f(x)=x^3+12f(x)=x3+12, find g(3)g(3)g(3) if g(x)g(x)g(x) is the function of f(x)f(x)f(x) reflected about the yyy-axis.
- A non-zero constant function f(x)=cf(x)=cf(x)=c is reflected over the yyy-axis. What is the new function?
- What is the relationship between the coordinates of a set of points and the coordinates of the set of points that is its reflection over the yyy-axis?
- The point AAA is reflected over the yyy-axis and the new point A′A'A′, is (17,3)(17,3)(17,3). Find the coordinates of AAA.
- The point GGG whose coordinates are (0,9)(0,9)(0,9) is reflected over the yyy-axis. What is the new point?
- What is the domain and range of f(x)=xf(x)=\sqrt{x}f(x)=x after it is reflected over the yyy-axis?
- The function f(x)=3x+4xf(x)= 3^{x}+4xf(x)=3x+4x is reflected about the yyy-axis. What is the equation of the new function, g(x)g(x)g(x)?
- The function f(x)=−x+6f(x)= -x+6f(x)=−x+6 is reflected about the yyy-axis. What is the equation of the new function, g(x)g(x)g(x)?
- The function f(x)=7x2−xf(x)= 7x^2-xf(x)=7x2−x is reflected about the yyy-axis. What is the equation of the new function, g(x)g(x)g(x)?
- f(x)f(x)f(x) is a linear line that passes through the points (3,0)(3, 0)(3,0) and (5,−2)(5, -2)(5,−2). If g(x)g(x)g(x) is the reflection of f(x)f(x)f(x) over the yyy-axis, what …