How does changing B affect a parabola?

Changing b does not affect the shape of the parabola (as changing a did). Making b positive or negative only reflects the parabola across the y-axis. So, the displacement of the vertex from the y-axis is caused by the absolute value of b. To recap, changing a makes the parabola appear “wider” or thinner”.Click to…

Changing b does not affect the shape of the parabola (as changing a did). Making b positive or negative only reflects the parabola across the y-axis. So, the displacement of the vertex from the y-axis is caused by the absolute value of b. To recap, changing a makes the parabola appear “wider” or thinner”.Click to see full answer. Considering this, what happens to a parabola when a changes?1. Changing the value of “a” changes the width of the opening of the parabola and that the sign of “a” determines whether the parabola opens upwards or downwards. 2. Changing the value of “b” will move the axis of symmetry of the parabola from side to side; increasing b will move the axis in the opposite direction.One may also ask, what does the B mean in standard form? Standard Form[edit] Standard form is another way to write slope-intercept form (as opposed to y=mx+b). A, B, C are integers (positive or negative whole numbers) No fractions nor decimals in standard form. “Ax” term is positive. Additionally, how does the coefficient affect a parabola? A positive quadratic coefficient causes the ends of the parabola to point upward. A negative quadratic coefficient causes the ends of the parabola to point downward. The greater the quadratic coefficient, the narrower the parabola. The lesser the quadratic coefficient, the wider the parabola.How does the a variable affect the quadratic graph?|a| makes the graph skinny or fat, a > 0 opens up, translate (shift) the graph in x and y direction. While a and b contribute to the x shift, all three contribute to the y shift. If a is positive, the parabola is upward. If a is negative, the parabola is downward.

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