## How do you find the value of F 3?

The value of f(-3) is found by substituting -3 into the equation per variable, solving and simplifying as needed, to get the answer. For instance if f(x)=3x^2, the value of f(-3) is 3(-3)^2, which is 27.

## What does find F 3 mean?

Explanation: Simply substitute the value of 3 given. In other words, f(3) is the function of f(x) , however, in this case, x is 3.

## What does F 3x do to a graph?

If g(x) = 3f (x): For any given input, the output iof g is three times the output of f, so the graph is stretched vertically by a factor of 3. If g(x) = f (3x): For any given output, the input of g is one-third the input of f, so the graph is shrunk horizontally by a factor of 3.

## Which is f (- 3 for the quadratic function graphed?

From the given graph of the quadratic equation, it is clear that it is an upward parabola, with its vertex at (-3, -9). Looking at the graph, when we check the y-coordinates corresponding to x = -3, we get f(-3) = -9.

## What type of transformation is F 3x?

Translations and the Effect on Domain & Range
GraphTranslationRange
y=f(3x)divide each x by 3[4,8]
y=2f(x-3)-5multiply each y by 2 and subtract 5; add 3 to every x[3,11]
y=1/f(x)take the reciprocal of each y[1/8,1/4]

## How do you read YFX files?

The notation y=f(x) y = f ( x ) defines a function named f . This is read as “y is a function of x .” The letter x represents the input value, or independent variable.

## When you multiply a function by what is the effect on its graph?

When you multiply the input of f(x) by a constant, b, the graph of f(x) is stretched horizontally. Only the y-intercepts remain fixed.

## What is dilation on graph?

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size. The scale factor of a dilation is the factor by which each linear measure of the figure (for example, a side length) is multiplied.

## How do you do transformations on a graph?

5 Steps To Graph Function Transformations In Algebra
1. Identify The Parent Function. Ernest Wolfe. …
2. Reflect Over X-Axis or Y-Axis. …
3. Shift (Translate) Vertically or Horizontally. …
4. Vertical and Horizontal Stretches/Compressions. …
5. Plug in a couple of your coordinates into the parent function to double check your work.

## How do you multiply on a graph?

You need to find the x values on both lines and multiply them together to find the value for the new graph of f*g(x). For example at x=4, g(4)=0 and f(4)=4 so f*g(4)=0 (multiply the two values together). When x=6, g(6)=-1 and f(6)=6 so f*g(6)=-6.

## What happens if you multiply a function by 2?

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 is FX multiplication?

Stretching and Compressing Graphs

If we multiply a function by a coefficient, the graph of the function will be stretched or compressed. Given a function f(x), we can formalize compressing and stretching the graph of f(x) as follows: A function g(x) represents a vertical stretch of f(x) if g(x) = cf(x) and c > 1.