Admin Table of Contents
What happens if you multiply a function by 1?
y = f ( x ) . When we multiply the function by -1, it becomes y=−f(x). y = − f ( x ) . Then the coordinates become (x,−f(x)).
What makes a function flip over the y-axis?
To flip or reflect (horizontally) about the vertical y-axis, replace y = f(x) with y = f(-x).
What happens when you multiply F X by?
When you multiply two functions together, you’ll get a third function as the result, and that third function will be the product of the two original functions. For example, if you multiply f(x) and g(x), their product will be h(x)=fg(x), or h(x)=f(x)g(x). You can also evaluate the product at a particular point.
What does multiplying a function by 3 do?
We have multiplied x by 3. This should affect the graph horizontally. Therefore the graph if this parabola will be taller/thinner than y = x2. Multiplying x by a number greater than 1 creates a horizontal compression, which looks like a vertical stretch.
What happens to the graph if you multiply a number between 0 and 1 to the domain?
Therefore multiplying \begin{align*}x\end{align*} by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wider.
What does it mean to reflect over Y 1?
the line y=1 is a horizontal line passing through all. points with a y-coordinate of 1. the point (3,10) reflected in this line. the x-coordinate remains in the same position.
How do you flip a function?
The function translation / transformation rules:
- f (x) + b shifts the function b units upward.
- f (x) – b shifts the function b units downward.
- f (x + b) shifts the function b units to the left.
- f (x – b) shifts the function b units to the right.
- –f (x) reflects the function in the x-axis (that is, upside-down).
What happens when you multiply 2 FX?
We can also stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ).
How do you multiply F?
To multiply a function by another function, multiply their outputs. For example, if f (x) = 2x and g(x) = x + 1, then fg(3) = f (3)×g(3) = 6×4 = 24. fg(x) = 2x(x + 1) = 2×2 + x.
How do you reflect over the y axis?
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
What is a number to the 1 power?
number itself
Explanation: According to the exponent rule, any number raised to the power of one equals the number itself. Let’s take an example, 100 to the power of 1 can be written as 100 and x to the power of 1 can be written as x.