Quadratic Functions Exam2A 2.1 2.2 2.3 Review

vertex form

100

 Identify the vertex. f(x)=-2(x+3)^2 -4

(-3,-4)

200

 Identify the axis of symmetry. f(x)=-2(x+3)^2 -4

x = -3

300

 Does the function have a maximum or minimum and find it. f(x)=-2(x+3)^2 -4

max at y =-4

400

Find the domain. f(x)=-2(x+3)^2 -4

All Real Numbers

500

Find the range. f(x)=-2(x+3)^2 -4

y<-4

standard form

100

Find the y intercept for f(x)= x^2+6x+9

9 or y=9 or (0,9)

200

 Find the minimum or maximum. f(x)= x^2-2x-3

minimum at -4

300

 Write the standard form equation for the parabola with x-intercept at (0,-1) and passes through the points(–2 ,–3) and (–4,–1).

0.5x^2+2x-1

400

 Identify the negative intervals. f(x)= x^2-2x-48

x<-6 or x>8

500

 A boogie bomb is thrown, and the path of the bomb can be modeled by the function f(x)= -16x^2+64x+16. What is the maximum height?

80 feet

transform+

100

 Describe the translation f(x)=-2(0.8x+3)^2 -4

x-axis reflection vertical stretch horizontal stretch left 3 down 4

200

 Describe the translation f(x)= 0.5(-2x-4)^2 +3

vertical compression horizontal compression y-axis reflection right 4 and up 3

300

 Write the vertex form equation for a quadratic function that has been translated    8 units right and 2 units up and has an x-axis reflection.

(x-8)^2 +2

400

 Write the vertex form equation of the parabola with a vertex at (-1 , 8) and a point at (1 ,0 ).

4(x+1)^2 +8

500

 Write the standard form equation of the parabola with a vertex at ( -1, 8) and a point at (1, 0).

4x^2-4x

misc.

100

 Find the vertex for f(x)= x^2-2x-3

(1, -4)

200

What are the zeros of the quadratic function y = 7(x–11)(x+4)?

11, -4

300

 A toy rocket is launched from the top of a 4 foot platform. At 2 seconds it reaches a maximum height of 24 feet and hits the ground in 4 seconds. Find the y-intercept.

4

400

 A toy rocket is launched from the top of a 4 foot platform. At 2 seconds it reaches a maximum height of 24 feet and hits the ground in 4 seconds. Find the quadratic equation to model the path of the rocket

-5.5x^2+21x+4

500

A boogie bomb is thrown, and the path of the bomb can be modeled by the function f(x)= -16x^2+64x+16. When will it hit the ground? nearest tenth

4.2

factor/solve

100

 Factor.  x^2+6x+9

(x+3)(x+3) or (x+3)^2

200

Factor.  2x^2+x-3

(2x+3)(x-1)

300

Solve. x^2+7x-18=0

-9, 2

400

Daily Double 

Fortnite

500

Solve. x^2+12x=12 nearest tenth

-12.9,  .9