Unit 4B Test Recovery

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Back

This equation models the height, h, of the toy above the ground at time t seconds after it was thrown.

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The function is increasing on the interval (−∞, 3) and decreasing on the interval (3, ∞).

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The function is transformed by a horizontal shift left 6 units and a vertical shift down 2 units.

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Set h = 0 and solve for t. The frog is back on the ground at t = 1 second.

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What is the formula for the axis of symmetry in a quadratic function?

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What does the term 'vertex' refer to in a parabola?

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The vertex is the highest or lowest point on the graph of a parabola, depending on its orientation.

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What is the significance of the coefficient 'a' in a quadratic function?

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The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

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How do you find the maximum height of a projectile modeled by a quadratic equation?

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The maximum height occurs at the vertex of the parabola, which can be found using the axis of symmetry formula.

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What does it mean for a function to be increasing on an interval?

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A function is increasing on an interval if, as x increases, the value of the function also increases.