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What happens to the shape of a parabola as the distance between the vertex of the curve and the focus becomes very large?
The parabola shape is magnified. If you keep the same scale for the graph, the parabola will look wider, more flattened out.
What does decreasing the absolute value of a to a number less than 1 cause the parabola to do?
become wider
How does the value of b affect the parabola?
The value of ( b ) in a quadratic equation of the form ( y = ax^2 + bx + c ) affects the position and shape of the parabola. Specifically, it influences the location of the vertex along the x-axis and the direction in which the parabola opens. A larger absolute value of ( b ) can make the parabola wider or narrower depending on the value of ( a ), while the sign of ( b ) can shift the vertex left or right. Overall, these changes alter how the parabola intersects with the x-axis and its symmetry.
How does the value a affect the width of the parabola?
In a quadratic equation of the form (y = ax^2 + bx + c), the value of (a) determines the width of the parabola. If (|a|) is greater than 1, the parabola is narrower, indicating that it opens more steeply. Conversely, if (|a|) is less than 1, the parabola is wider, meaning it opens more gently. The sign of (a) also affects the direction of the opening: positive values open upwards, while negative values open downwards.
How do you make a parabola on a graphing calculator?
just put x^2=y or (x^2)/y on the calculator, and then it makes a simple parabola.
What is the square root of a parabola?
A parabola is a 2-dimensional shape. A square root is a function whose arguments are numbers. The question does not make sense.
How do you find the endpoints of a parabola when you have the function of the line?
A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.
What are quadratic equations used for?
quadratics are used for things like satellite dishes... there are more uses but that's only a basic one =) we are doing a project in math that requires quadratic equations. we make a parabola and put aluminum (or any other reflector) inside the parabola. we make a stick to put in the middle of the parabola to make a focus. we put the marshmellow on the focus and put the parabola in the sunlight. If done right then the marshmellow should heat up! cool huh?
Is a parabola the same as a parabolic curve?
No. If you tilt a parabola, you will still have a parabolic curve but it will no longer be a parabola.
Parabola is the point at which the parabola is at its lowest or highest point?
A parabola is NOT a point, it is the whole curve.
What shape does the quadratic graph make?
The graph of a quadratic equation has the shape of a parabola.
How do streams get wider?
a stream gets wider when it gets older and the water erodes the bed of the river to make it wider
