Reflection over y axis equation
Asked by maham237 @ in Mathematics viewed by 323 People
How to reflect over y axis in an equation?
Answered by maham237 @
1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y).
2) y = |f(x)| means that the entire graph will be above the x-axis. Why? (The absolute value is always positive, that's why!!) To graph the absolute value graph, graph the function y = f(x). Anything above the x-axis, stays above it, anything below the x-axis is reflected above the x-axis and anything on the x-axis, stays on the x-axis.
3) y = f(-x) (This is reflection about the y-axis of the graph y = f(x)) For every point on the right of the y-axis, there is a point equidistant to the left of the y-axis. That is for every point (x, y), there is a point (-x, y).
4) Reflections about the line y = x is accomplished by interchanging the x and the y-values. Thus for y = f(x) the reflection about the line y = x is accomplished by x = f(y). Thus the reflection about the line y = x for y = x2 is the equation x = y2.
Similar Questions
Reflection in y axis equation
Asked by maham237 @ in Mathematics viewed by 314 persons
Identify a reflection about the x-axis or a reflection about the y-axis of f(x) = √-x by observing the equation of the function g(x) = √x.
A) The base graph …
Which represents the reflection of f(x) = over the y-axis?
Asked by maham237 @ in Mathematics viewed by 353 persons
Which represents the reflection of f(x) = \sqrt{x} over the y-axis?
Asked by maham237 @ in Mathematics viewed by 469 persons
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 - 4 sin θ
Asked by maham237 @ in Mathematics viewed by 447 persons
Origin only
x-axis only
y-axis only
No symmetry
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ
Asked by maham237 @ in Mathematics viewed by 406 persons
r = 2 cos 5θ How do we know? Can you share the explanation/steps?
Reflection across x and y axis
Asked by maham237 @ in Mathematics viewed by 335 persons
Which transformation represents a reflection over the y-axis? (x, y) → (−x, y) (x, y) → (x , −y) (x, y) → (y, x) (x, y) → (−y, x)
What is typically displayed on the y-axis of a solubility curve?
Asked by maham237 @ in Chemistry viewed by 336 persons
Select one of the options below as your answer:a. grams of solvent per 100 grams of water
b. grams of solute per 100 grams of water
c. the temperature of …
Write the equation of x axis and y axis
Asked by admin @ in Math viewed by 362 persons
Write the equation of X and y -axis
Write the equation of line parallel to y axis
Asked by admin @ in Math viewed by 322 persons
Write the equation of the line parallel to y-axis passing through the point (-3,-7)
Which equation represents a line parallel to the y axis
Asked by admin @ in Math viewed by 310 persons
What equation represents a line parallel to the y axis?
What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?
Asked by maham237 @ in Mathematics viewed by 360 persons
Which represents the reflection of f(x) = over the x-axis?
Asked by maham237 @ in Mathematics viewed by 430 persons
Which equation has a graph that lies entirely above the x-axis?
Asked by maham237 @ in Mathematics viewed by 528 persons
Oy= -(x + 7)2 + 7
O y=(x-77²-7
y = (x – 7)2 + 7
y = (x – 7)
The point (4, 3) is reflected across the x-axis. in what quadrant will the new coordinate be?
Asked by maham237 @ in Mathematics viewed by 419 persons
Find the equation of the transverse axis for this hyperbola
Asked by admin @ in Mathematics viewed by 271 persons
What is the equation of a hyperbola with a = 3 and c = 7 Assume that the transverse axis is horizontal.
Most viewed questions in Mathematics
Unit 6 similar triangles homework 2 similar figures answer key
Asked by maham237 @ in Mathematics viewed by 18354 persons
All things algebra unit 7 polygons and quadrilaterals answer key
Asked by admin @ in Mathematics viewed by 8159 persons
Gina wilson all things algebra 2016 answer key unit 11
Asked by admin @ in Mathematics viewed by 5783 persons
Unit 1 geometry basics homework 4 angle addition postulate answers
Asked by maham237 @ in Mathematics viewed by 3935 persons
Unit 6 exponents and exponential functions homework 8 answer key
Asked by maham237 @ in Mathematics viewed by 3252 persons
The manager of a vacation resort believes that the ages
Asked by maham237 @ in Mathematics viewed by 2924 persons
What is 271 403 rounded to the nearest ten thousand
Asked by maham237 @ in Mathematics viewed by 2793 persons
Unit 1 geometry basics homework 3 angle relationships answer key
Asked by maham237 @ in Mathematics viewed by 2581 persons
Why would a prism beat a sphere in a competition?
Asked by maham237 @ in Mathematics viewed by 2480 persons
An artist sells a painting for 20.50 but uses 5.75
Asked by maham237 @ in Mathematics viewed by 2430 persons
Unit 4 congruent triangles homework 1 classifying triangles answer key
Asked by maham237 @ in Mathematics viewed by 2419 persons
Unit 4 congruent triangles homework 2 angles of triangles
Asked by maham237 @ in Mathematics viewed by 2074 persons
Compare the values of the 2s and 5s in 55220
Asked by maham237 @ in Mathematics viewed by 1794 persons