Can the amplitude of a sine graph be negative?
Can the amplitude of a sine graph be negative?
The difference with a negative value of a however, is our sine curve now has a negative amplitude. In other words, our graphs are the same as when a was a positive value, but are now reflected across the x-axis. Notice how different values of a change the amplitude of our sine curve.
How does amplitude affect a sine graph?
Clearly we can see the affect a has on the graph y = a sin (bx + c). When 0 < a < 1, the amplitude of the graph decreases, causing the slopes of the graph to appear more “flat”. When a > 1, the amplitude of the graph increases, causing the slopes of the graph to appear more “steep”.
What happens to the graph when a is positive?
If a is positive, the parabolas open up, and if a is negative, the parabolas open down. If a = 0, we have a straight line that is a linear function. As the magnitude of a decreases, the graphs widen, and as the magnitude of a increases, the graphs become more narrow.
What does a positive slope look like on a graph?
What the Slope Means. A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.
What is the slope of the line in the graph?
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line is usually represented by the letter m. (x1, y1) represents the first point whereas (x2, y2) represents the second point.
What does an undefined slope look like on a graph?
So, an undefined slope is a line that goes straight up and down. It’s vertical. An undefined slope is a line that goes straight up and down; it is vertical. As it turns out, these equations, instead of being y =, are going to be x = lines.
What is a zero slope on a graph?
A zero slope is just the slope of a horizontal line! The y-coordinate never changes no matter what the x-coordinate is! In this tutorial, learn about the meaning of zero slope.
How do you find the slope of a straight line on a graph?
The slope equals the rise divided by the run: Slope =riserun Slope = rise run . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
What is the slope of a straight up and down line?
so a “straight up and down” (vertical) line’s Slope is “undefined”.
What is the slope of each increasing graph?
The graph of an increasing function has a positive slope. A line with a positive slope slants upward from left to right as in (a). For a decreasing function, the slope is negative. The output values decrease as the input values increase.
How do you plot a linear graph?
To graph a linear equation, we can use the slope and y-intercept.
- Locate the y-intercept on the graph and plot the point.
- From this point, use the slope to find a second point and plot it.
- Draw the line that connects the two points.
At what point does the graph of the linear equation 2x 3y 9?
(0,9)
At what point does the graph of the linear equation 2x 3y 6?
Firstly, as we know that the point on the y-axis will have the x-coordinate as 0, this means that the point at which the graph of linear equation 2x + 3y = 6 cuts the y-axis is ‘(0, y)’. Hence, the point at which the graph of linear equation 2x + 3y = 6 cuts the y-axis is y(0, 2).
At what point does the graph of the linear equation 2x y 7?
the graph of linear equation 2x-y=7 cuts y-axis at the point (0,-7).
At what point does the graph of the equation 2x 3y 2 cut the y-axis?
y = 2. Hence, at the point (0, 2), the given linear equation cuts the Y-axis.
At what point does the graph of linear equation 2x 3y 6 cut the Y-axis at the point?
Solution : Since, the graph of linear equation 2x+3y=6 cuts the Y-axis. Hence, at the point (0,2), the given linear equation cuts the Y-axis.
What is the graph of y is equal to 6?
Graph of y=6 is a line: (a) parallel to x-axis at a distance 6 units from the origin. (b) parallel to y-axis at a distance 6 units from the origin. (c) making an intercept 6 on the x-axis. (d) making an intercept 6 on both the axes.
What does Y 6 look like on a graph?
The graph of y=6 on a coordinate grid is a horizontal (flat, left to right) line. The line intersects the y-axis at the point (0,6).
Is Y =- 6 a linear equation?
1 Answer. y=6x will give a hyperbola. It is not linear.