Table of Contents

## If M(X) = X2 + 3 And N(X) = 5x + 9, Which Expression Is Equivalent To (Mn)(X)?

is 5×3 + 9×2 + 15x + 27.

## What is an X intercept of the graph of the function?

The x -intercepts of a function are the point(s) where the graph of the function crosses the x -axis. The x -intercept is often referred to with just the x -value. For example, we say that the x -intercept of the line shown in the graph below is 7 .

## How is the graph of y log x transformed to produce the graph of y log 2x )+ 3?

The graph y = log(2x) + 3 related to the graph of y = log(x) in the following manner: It is compressed vertically by a factor of 2 and translated up to 3.

## Which is one of the transformations applied to the graph of f/x )= x2?

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4×2 + 24x + 30? The graph of f(x) = x2 is widened. The graph of f(x) = x2 is shifted left 3 units.

## What is the order of transformations on a graph?

Reflection about the x-axis. Reflection about the y-axis. Vertical shifting or stretching. Horizontal shifting or stretching.

## How do you find the function of a graph?

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

## What’s the difference between a horizontal and vertical stretch?

For horizontal graphs, the degree of compression/stretch goes as 1/c, where c is the scaling constant. Vertically compressed graphs take the same x-values as the original function and map them to smaller y-values, and vertically stretched graphs map those x-values to larger y-values.

## What does phase shift do to a graph?

The phase shift (also called the horizontal shift or horizontal translation) describes how far horizontally the graph has been moved from the regular sine or cosine.

## How do you determine if a function is even or odd?

The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An odd function has rotational symmetry about the origin. We can decide algebraically if a function is even, odd or neither by replacing x by -x and computing f(-x).

## What is a line graph in math?

A line graph connects individual data points that, typically, display quantitative values over a specified time interval. Line graphs consist of two axes: x-axis (horizontal) and y-axis (vertical), graphically denoted as (x,y).

## How do you write a graph equation?

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

## What is a parabola graph?

A parabola is a U-shaped curve that is drawn for a quadratic function, f(x) = ax2 + bx + c. The graph of the parabola is downward (or opens down), when the value of a is less than 0, a < 0. The graph of parabola is upward (or opens up) when the value of a is more than 0, a > 0.

## How do you tell if a parabola is vertical or horizontal?

If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.

## How do you shift a parabola left or right?

To shift the parabola left of right, the value of h changes. Since there is a negative sign in the parent function, a positive value moves the parabola to the left and a negative value moves it to the right.

## What is a vertical stretch?

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. This results in the graph being pulled outward but retaining the input values (or x). When a function is vertically stretched, we expect its graph’s y values to be farther from the x-axis.

**Related posts:**

- What is the focus of parabola X² − 4ay?
- For what values of a and b is the line 2x y B tangent to the parabola y ax2 when X 2 a B?
- How do you find the maximum and minimum of a parabola?
- How do you find the focal distance of a parabola?
- How do you find the domain of a parabola?
- Why bridge is an example of a parabola?
- How do you find the maximum vertical distance between two parabolas?
- Is a parabola linear or quadratic?
- Where is the maximum of a parabola?
- How do I find the domain of a parabola?