How do you reflect a function about the y-axis?
We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect it about the y-axis by graphing y=f(-x). We can even reflect it about both axes by graphing y=-f(-x).
What does it mean to be reflected about the y-axis?
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse.
What is the equation of y-axis?
x = 0
The equation of y-axis is x = 0.
How do you write a reflection function?
Reflections. A function can be reflected about an axis by multiplying by negative one. To reflect about the y-axis, multiply every x by -1 to get -x. To reflect about the x-axis, multiply f(x) by -1 to get -f(x).
What is the reflection of (- 3/4 across the y-axis?
Therefore, when a point is reflected in the y-axis, the sign of its abscissa changes. Examples: (i) The image of the point (3, 4) in the y-axis is the point (-3, 4). (ii) The image of the point (-3, -4) in the y-axis is the point (-(-3), -4) i.e., (3, -4).
How do you reflect over Y?
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
What is the slope of the y-axis explain?
The y‐axis or any line parallel to the y‐axis has no defined slope.
How do you reflect an equation from a graph?
Here are the general rules for the reflection over x-axis equation: Given an equation, y=f(x) y = f ( x ) , the reflection equation of the new reflected graph will be y=−f(x) y = − f ( x ) . That is, the function is simply multiplied by −1 which will produce a curve reflected over the x-axis.
What is 4/7 reflected over the y-axis?
1 Expert Answer I’ll help you understand math! Our point is 4 away from the y-axis. Moving it to 4 the other side of the y-axis takes us to (-4,-7).
How do you reflect an equation?
To reflect an equation over the x-axis, simply multiply the output variable by negative one: y=f(x)→y=−f(x) y = f ( x ) → y = − f ( x ) .
Which is y-axis in equation?
The x-axis is usually the horizontal axis, while the y-axis is the vertical axis. They are represented by two number lines that intersect perpendicularly at the origin, located at (0, 0), as shown in the figure below.
What does the y-intercept of this relationship represent?
The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.
What is the meaning of y-axis in math?
vertical axis
A y-axis is the vertical axis on the Cartesian coordinate plane. The y-axis starts at negative infinity and increases to positive infinity. The y-axis is also the starting, or 0 point, for measuring how far a point extends horizontally on a graph.