Transformations of Quadratics in Standard Form

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

Which function has a translation of 3 units to the left?

• f(x) = 3x²+1

• f(x) = (x + 3)² + 1

• f(x) = (x - 3) + 1

• f(x) = (x + 1)²- 3

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

• The graph is congruent and is translated down.

• The graph is wider and opens downward.

• The graph is congruent and is translated up.

• The graph is narrower and opens downward.

How will the graph of f(x) = 3x² - 1 be affected if x² becomes (x - 2)^2?

• The vertex of the graph will move left 2 units.

• The vertex of the graph will move up 2 units.

• The vertex of the graph will move right 2 units.

• The vertex of the graph will move down 2 units.

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

• It is shifted 3 units left.

• It is shifted 3 units right.

• It is shifted 3 units down.

• It is shifted 3 units up.

Which quadratic is wider than the graph of y = 4x² + 5?

• y = 4x² + 5

• y = 5x² + 5

• y = 0.25x² + 5

• y = 0.75x²+5

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A