DCP #4 Review

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Which of the following quadratic functions has the solutions of

x = 2 and x = -1?

• y = (x+2)(x-1)

• y = (x-2)(x+1)

• y = (x-2)(x-1)

• y = (x+2)(x+1)

You graphed f(x) = x and g(x) = f(x) – 10 on the same graph. Which statement describes how the graphs of f and g are related?

• The graph of f is shifted up 10 units to create the graph of g.

• The graph of f is steeper than the graph of g.

• The graph of f is shifted down 10 units to create the graph of g.

• The graph of f is less steep than the graph of g.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (-2,9) and passes through the point (-4,13)?

• y = -4(x – 2)² + 9

• y = -4(x + 2)² + 9

• y = (x + 2)² + 9

• y = (x – 2)² + 9

What is the domain of the quadratic parent function y = x² ?

• x > 0

• x < 0

• all real numbers

• x ≤ 0

Which statement about f(x) = -x² - 9x - 20 is true?

• The zeros are -4, and -5, because f(x) = (x + 4)(x + 5)

• The zeros are 4, and 5, because f(x) = (x + 4)(x + 5)

• The zeros are 4, and 5, because f(x) = - (x + 4)(x + 5)

• The zeros are -4, and -5, because f(x) = - (x + 4)(x + 5)

Which statement about the quadratic equation below is true?

(x – 3)² – 9

• The equation has x = 0 as its only solution.

• The equation has no real solutions.

• The equation has x = 0 and x = 6 as its only solutions.

• The equation has infinite number of solutions.

Given the parent function f(x) = x² describe the transformation from f(x) to g(x) when g(x) = x² + 5.

• The graph of g is 5 units to the left of the graph of f.

• The graph of g is 5 units to the right of the graph of f.

• The graph of g is 5 units below the graph of f.

• The graph of g is 5 units above the graph of f.

You are throwing a rock into the lake to see how far you can throw. The situation is modeled by the equation y = - 5x² + 6, where y is the height in feet and t is the time in seconds. Which is closest to the time in seconds it will take for the rock to hit the water?

• 1.095 seconds

• 2 seconds

• -1.095 seconds

• 6 seconds

Which function best represents the graph?

• y = x² – 3x – 4

• y = -x² – 3x – 4

• y = 2x² – 3x – 4

• y = -2x² – 3x – 4