Quadratic functions

TransformationsQuadratic Functions

100

What transformations occur for y = (x+1)²- 4 

unit left and 4 units down.

200

if the function is Y =-2(x-3)² where is the paraloba shifted 

2 units to the left.

300

If a parabola is moved 2 units right, 3 units up, and reflected, what is the equation?

Y = (X- 2)²+3 

400

How do you describe the transformation of  y=−0.5(x+4)2+7?

Reflected, vertically compressed, shifted 4 units left, and 7 units up.

500

True or False: The order of transformations does not matter.

FALSE

Solving by completing the square

100

What do you add to x²+6x to complete the square?

9, because (6/2)2=9.

200

What value completes the square for 

x²-10x?

25

300

True or False: You only complete the square when the coefficient of 

x² is 1.

True 

400

A rocket’s height is given by 

h=−5t²20t+50. How long until it reaches its maximum height?

2 seconds (found by completing the square or using 

t=−2ab ).

500

True or False: Quadratic functions are only used in math, not real life.

False

Solving by Factoring

100

Solve:

x²- 5x=0

x=0 or x = 5 

200

solve 

x² +7x+12=0.

X=-3 or x = -4 

300

2x²- 8x=0.

x = 0 or x =4 

400

the height of a triangle is 3 more than its base, and its area is 18, what is the base?

Base = 3, Height = 6 (solved by factoring the area equation).

500

Solve the quadratic equation by factoring: 

6x² 5x−6=0.

x= 2 or x = - 3/2