## Can a graph be parallel to the x-axis?

Table of Contents

Thus, if P(x, y) is any point on AB, then y = b. Hence, the equation of a straight line parallel to x-axis at a distance b from it is y = b. The equation of x-axis is y = 0, since, x-axis is a parallel to itself at a distance 0 from it. Let P (x,y) be any point on the x-axis.

## Does horizontal stretch change X or Y?

Transformations of Graphs A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x).

**Is a vertical stretch on the x-axis?**

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. When a function is vertically stretched, we expect its graph’s y values to be farther from the x-axis. The graph below shows the graph of f(x) and its transformations.

### Is x 4 parallel to the y-axis?

Thus, the line x=4 is parallel to y-axis. The line x=4, has x-coordinate constant i.e. 4 at any point.So, any point lieying on this line will be of the form (4,y) and it is perpendicular to x-axis.As, both coordinate axes are perpendicular to each other implies y-axis is perpendicular to x-axis.

### Which axis is X 4 parallel to?

y-axis

The line x=4 is parallel to y-axis.

**How do you stretch a horizontal graph?**

Key Takeaways

- When by either f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.
- In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ) .
- In general, a horizontal stretch is given by the equation y=f(cx) y = f ( c x ) .

#### What is stretch transformation?

A stretch or compression is a function transformation that makes a graph narrower or wider, without translating it horizontally or vertically.

#### How do you stretch a vertical graph?

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 ). Here are the graphs of y = f (x), y = 2f (x), and y = x.