Review of Quadratic Equations

Simplify:
(x-7)²

• x²-49

• x²+49

• x²-14x+49

• x²-14x-49

What transformation has happened from f(x) = x² to f(x) = 2(x + 4)² ?

• The new function gets wider and shifts left 4 units.

• The new function gets narrower and shifts right 4 units.

• The new function gets wider and shifts right 4 units.

• The new function gets narrower and shifts left 4 units.

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

x² - 64 = 0

• x = 8

• x = 8 or x = - 8

• x = - 8

• x = 16 or x = - 16

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

• g(x) = (x - 4)² - 2

• g(x) = (x + 4)² - 2

• g(x) = (x - 4)² + 2

• g(x) = (x + 4)² + 2

Let the graph of g be a vertical stretch by a factor of 5 of the graph of f(x) = x². Write a rule for g.

• g(x) = 5x²

• g(x) = -5x²

• g(x) = x² + 5

• g(x) = (x + 5)²

Let the graph of g be a translation 7 units right and a reflection in the x-axis of the graph of f(x) = x². Write a rule for g.

• g(x) = -(x - 7)²

• g(x) = (x - 7)²

• g(x) = -(x + 7)²

• g(x) = (x + 7)²

Which of the following equations matches vertex form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Which equation is graphed above?

Which equations matches the graph above?