Quadratic Equations (26 problems)

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Problem #1: Algebra~Quadratic Equations~Applications~ID173

Graph each of the following parabolas

(a)

(b)

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Problem #2: Algebra~Quadratic Equations~Applications~ID174

If the parabola goes through the point (2, 0), what is the value of a?

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Problem #3: Algebra~Quadratic Equations~Complex Roots~ID180

Find a quadratic equation with rootsand

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Problem #4: Algebra~Quadratic Equations~Computation of Roots~ID169

Solve

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Problem #5: Algebra~Quadratic Equations~Computation of Roots~ID170

Solve

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Problem #6: Algebra~Quadratic Equations~Computation of Roots~ID171

Solve

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Problem #7: Algebra~Quadratic Equations~Computation of Roots~ID172

What is the sum of roots of the equation?

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Problem #8: Algebra~Quadratic Equations~Computation of Roots~ID181

Given the equation, what are the possible rational roots?

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Problem #9: Applications

A baseball is hit into the air so that the number of feet above the ground after

t seconds is given by s= -16t+96t. How long will it take to first reach a height of 144 feet above the ground?

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Problem #10: Applications

An object is projected upward from the top of a tower. It distance in feet above the ground after t seconds is given by s(t) = -16t+ 64t + 80. How many seconds will it take to reach the ground level

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Problem #11: Applications

If P(4, -5) is a point on the graph of the function y = f(x) find the corresponding point on the graph of y =2f( x-6)

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Problem #12: Applications

From a square piece of cardboard with width x inches a square of width x- 3 inches is removed from the center. Write the area of the remaining piece as a function of x.

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Problem #13: Applications

Use completing the square or the quadratic formula to find the solution to the equation x - 4x +2 = 0

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Problem #14: Applications

Find the value of k that complete the square for x + 10x + k

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Problem #15: Applications

Explain how the graph of can be obtained from the graph of y = x

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Problem #16: Applications

If f(x) = x + 5, find f(a +h) – f(a)

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Problem #17: Applications

An object is shot upward with an initial velocity of 240 feet per second so that its height (in feet) above the ground after t seconds is given by s= -16t + 240t. For what values of t will the object be at least 416 feet above the ground?

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Quadratic Equations (26 problems)