Quadratic Rules

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

• a vertical translation shifting f(x) 4 units up

• a horizontal compression by a factor of 4

• a horizontal translation shifting f(x) 4 units to the left

• a horizontal translation shifting f(x) 4 units to the right

Pablo throws a ball with a path of
h = -5(t - 2)².
Maria throws a ball with a path of
h = -5(t - 2)² + 10.
Which description is reasonable for the difference in the two equations?

• Maria throws the ball 10 times harder than Pablo does.

• Maria starts her ball at a height 10 feet higher than Pablo does.

• Pablo throws the ball 10 times harder than Maria does.

• Pablo starts his ball at a height 10 feet higher than Maria does.

Which description of the transformation of the graph of f(x) = x² to the graph of g(x) = (3x)² + 2 is true?

• a horizontal compression by a factor of 1/3 with translation up two units

• a horizontal stretch by a factor of three with a translation right two units

• a vertical stretch by a factor of 3 with translation two units to the right

• a vertical compression by a factor of 1/3 with translation two units up

Describe the transformation on f(x) = x².

f(x) + 7

moved ​ (a)   7

• up

• down

• left

• right

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

• 1

• 3

• 2

• 5

f(x) = (a)   x² + ​​ (b)   x + ​ ​ (c)  

• a

• b

• c

• d

• x

• 1

• 3

• 2

• 5

• 4

Tags

CCSS.HSA-REI.B.4B