Honors Math 2
Name:__________________________
Quadratic Review
1.
Graph and answer the following questions. 𝑦 = 𝑥 $ − 6𝑥 + 2
Vertex: _______________
Axis of Symmetry:_______________
y-intercept:______________________
Domain:_____________
Range:____________
Transformations: ____________________________________
Vertex Form:___________________________
2.
Graph and answer the following questions. 𝑦 = − 𝑥 + 3
Vertex: _______________
$
−5
Axis of Symmetry:_______________
y-intercept:______________________
Domain:_____________
Range:____________
Transformations: ____________________________________
Standard Form:___________________________
3.
Graph and answer the following questions. 𝑦 = −3𝑥 $ + 6𝑥 − 8
Vertex: _______________
Axis of Symmetry:_______________
y-intercept:______________________
Domain:_____________
Range:____________
Transformations: ____________________________________
Vertex Form:___________________________
4.
,
Graph and answer the following questions 𝑦 = (𝑥 − 2)(𝑥 − 6)
Vertex: _______________
$
Axis of Symmetry:_______________
y-intercept:______________________
Domain:_____________
Range:____________
Transformations: ____________________________________
Standard Form:___________________________
Vertex Form: ____________________________
5.
What is the equation of the parabola in standard form
with the vertex (-3, 4) passing through the point
(-5,-8)?
6.
Write the function into vertex form. 𝑦 = −2𝑥 $ − 4𝑥 + 6
7.
What is the equation of the parabola in vertex form
with the vertex (3,-20) and that passes through the
point (7,12)?
8.
A baseball is hit so that its height above the ground is
given by the equation ℎ = −16𝑡 $ + 96𝑡 + 4, where ℎ is
the height in feet and 𝑡 is the time in seconds after it is
hit. What is the MAXIMUM height the traveled?
(Think about what maximum means and what the h
means) Must show work!
9.
State the following:
Vertex:______________________
Axis of Symmetry:_____________________
Domain:_____________________
Range:___________________
x-intercepts:___________________________
y-intercept:__________________________
$
10)Whatarethethreeformsofaquadraticfunction?
11)Convert𝑓 𝑥 = −2 𝑥 + 3
12)Covert𝑔 𝑐 = − 𝑐 + 5 𝑐 − 1 toStandardForm.
13)Convert𝑞 𝑥 = 2𝑥 $ + 4𝑥 − 6toInterceptForm.
14)Convertℎ 𝑡 = 𝑡 − 5 𝑡 − 3 intoVertexForm.
15)Convert𝑦 𝑥 = 2𝑥 $ − 28𝑥 + 10toVertexForm.
,
<
16)Rewrite𝑧 𝑥 = 𝑥 $ − 𝑥 −
;
=
=>
$
inInterceptForm.
18)WritetheparabolabelowinALLTHREEforms.
+ 5toStandardForm.
17)Writeaparabolawithavertexat(6,1)andgoes
throughthepoint(2,41)