Quadratic Functions

Using the equation y = ax² + bx + c to represent a parabola on a graph, which statement is true?

• If b is negative, the parabola opens downward.

• If a is negative, the parabola opens upward.

• If a is positive, the parabola opens upward.

• If c is negative, the parabola opens downward.

Write the equation y= -2x² - 16x + 40 in vertex form by completing the square. Then, identify the vertex.

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Write the equation of the parabola that has x-intercepts of (-2, 0) and (6, 0) and passes through the point (7, 27) in root form.

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The path of a baseball after it has been hit is modeled by the function h = -0.0032d² + d + 3, where h is the height in feet of the baseball and d is the distance in feet the baseball is from home plate. Describe (in words) one algebraic method you could use to find the maximum height reached by the baseball. (You do not need to find the actual answer.)

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Use the quadratic function below to answer the following question: How many x - intercepts does this function have? The function has ​ (a)   x - intercept.

• 1

• 2

• 0

• 3

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

• opens upward

• opens downward

• translated vertically

• translated horizontally

Mathematical Equivalence

ON