Quadratics Transformations and Characteristics

The point in which a graph hits the x-axis is know as the _____

• Solution

• x-intercept

• Root

• All answers are correct

Tags

CCSS.HSF-IF.C.7A

How many zeros does this parabola have? 

• 3

• 2

• 0

• 1

Tags

CCSS.HSF-IF.C.7A

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

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

How many solutions does this function have?

• two

• one

• all real numbers

• no real solutions

What are the solutions to this function?

• x={-2,-1}

• x={-3,-1}

• x={-1,3}

• x={-1,-2}

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

Write the equation of this transformation: up 8

• y=(x+8)²

• y= x²+8

• y= x²-8

• y=8x²

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

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.