Reflect Function About x-Axis: -f(x)
Read this topicExplanations 3
- Background We've seen a couple of different function transformations already, including vertical shifts and horizontal shifts. This lesson will cover a reflection over the xxx-a…
By Anusha Rahman
- Vertical Reflection The next type of function transformation is the vertical reflection! The vertical reflection allows us to flip an image over the xxx-axis. The horizontal xxx…
By Anusha Rahman
- Reflect a Line Segment Over the X-Axis by Brian McLogan In this lesson by Brian McLogan, you will learn how to reflect a line segment over the xxx-axis.
By Anusha Rahman
Problems 23
- The point (274,2016)(274, 2016)(274,2016) is reflected about the line y=2000y = 2000y=2000. What is the new yyy-coordinate of the point?
- The graph of y=x2+5xy = x^2 + 5xy=x2+5x is reflected about the xxx-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 xxx-axis?
- Mark all equations below whose graphs can be obtained from the graph of y=x2−2x+3y = x^2 - 2x + 3y=x2−2x+3, by a combination of vertical scalings and/or reflections about the xx…
- 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.
- Which of these functions are symmetrical over the xxx-axis?
- A point (x,y)(x,y)(x,y) where xxx and yyy are both non-zero, is reflected over the xxx-axis. What is the new point?
- If f(x)=x+1f(x)=x+1f(x)=x+1, what is f(1)f(1)f(1) for the function reflected over the xxx-axis?
- The function f(x)=x2−4x−5f(x)=x^2-4x-5f(x)=x2−4x−5 has roots of x=−1,5x=-1, 5x=−1,5. What are the roots when the function is flipped over the xxx-axis?
- True or False A quadratic function has 111 real root at point (a,b)(a,b)(a,b). The vertex of the function when flipped over the xxx-axis is (a,b)(a,b)(a,b).
- What is the equation for f(x)=x−1f(x)=\sqrt{x}-1f(x)=x−1 flipped over the xxx-axis?
- A non-zero constant function f(x)=cf(x)=cf(x)=c is flipped over the xxx-axis. What is the new function?
- What is the domain and range of f(x)=xf(x)=\sqrt{x}f(x)=x after it is reflected over the xxx-axis?
- The point A whose coordinates are (8,13)(8,13)(8,13) is reflected over the xxx-axis. What is the new point?
- The point BBB is reflected over the xxx-axis and the new point, B′B'B′, is (3,−2)(3, -2)(3,−2). Find the coordinates of BBB.
- 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 xxx-axis?
- If f(x)=4x3−8x+10f(x)= 4x^3-8x+10f(x)=4x3−8x+10, what is f(2)f(2)f(2) for the function reflected over the xxx-axis?
- If f(x)=−7x+13f(x)= -7x+13f(x)=−7x+13, what is the new equation when f(x)f(x)f(x) is reflected over the xxx axis?
- Line AAA is a linear line that passes through the points (0,5)(0,5)(0,5) and (3,14)(3, 14)(3,14). If line BBB is the reflection of line AAA over the xxx-axis, what is the equati…
- If f(x)=x2+1f(x)=x^2+1f(x)=x2+1, what is f(4)f(4)f(4) for the function reflected over the xxx-axis?
- If f(x)=−9x2+8x+6f(x)= -9x^2+8x+6f(x)=−9x2+8x+6, what is f(−1)f(-1)f(−1) for the function reflected over the xxx-axis?
- The point ZZZ whose coordinates are (−6,−1)(-6,-1)(−6,−1) is reflected over the xxx-axis. What is the new point?
- True or False: When you reflect the point (−7,−3)(-7, -3)(−7,−3) about the xxx-axis, the new point is (−7,3)(-7, 3)(−7,3).