What happens to a parabola when A is greater than 1?

When |a| is less than 1, the parabola opens wider. When |a| is greater than 1, the parabola opens more narrow.

How does the parabola change when a is a value between 0 and 1?

For the given function: When changing the value of a: Ø When a < 0, the parabola is concave down. As the value of a approaches zero (a becomes more positive), the “arms” of the parabola open up, moving further away from each other.

How do you tell if parabola is up or down?

There is an easy way to tell whether the graph of a quadratic function opens upward or downward: if the leading coefficient is greater than zero, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward.

What happens when the A value is negative?

In conclusion, as the magnitude of a increases, the graph of the parabola becomes narrower, and as the magnitude of a decreases, the graph of the parabola becomes wider. If a is negative, the graph of the parabola opens down instead of up.

What happens to the graph when A is greater than 1?

Now lets look at graphs where a is greater than 1. Clearly, here we can see that the parabola is stretching vertically and as when a increases each of the points on the parabola rises away quickly from the vertex. When can also see that when a is positive, the graph is concave upward.

What happens to the parabola when a 0 is the graph still a parabola?

If a > 0 (positive) then the parabola opens upward. If a < 0 (negative) then the parabola opens downward. Find the x-intercepts: Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0.

What changes a parabola?

To recap, changing a makes the parabola appear “wider” or thinner”. In other words, when |a| > 1 (absolute value of a), the graph compresses. When 0 < |a| < 1, the graph stretches. Changing b affects the location of the vertex with respect to the y-axis.

How do AB and C affect the parabola?

As we can see from the graphs, changing b affects the location of the vertex with respect to the y-axis. When b = 0, the vertex of the parabola lies on the y-axis. As we can see from the graph, changing c affects the vertical shift of the graph. When c > 0, the graph shifts up c units.

How does the value of a affect the parabola?

Is the parabola positive or negative?

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.