Study guide - Sicanation

Review homework
Find the vertex.
Solve the simple quadratic.
17) 𝑦 = π‘₯ 2 βˆ’ 4π‘₯ + 7
1) π‘₯ 2 = 121
18) 𝑦 = βˆ’3π‘₯ 2 βˆ’ 6π‘₯ βˆ’ 4
2) (π‘₯ + 7)2 = 25
19) Given the function 𝑦 = |π‘₯|, describe the
transformation.
Convert into (π‘₯ βˆ’ 𝑝)2 = π‘ž.
a) 𝑦 = |3π‘₯| βˆ’ 4
3) π‘₯ 2 + 4π‘₯ + 5 = 0
b) 𝑦 = 0.6|π‘₯ + 9|
4) π‘₯ 2 βˆ’ 8π‘₯ + 13 = 0
Find the zeros by using the Quadratic Formula.
5) 2π‘₯ 2 = βˆ’10π‘₯ + 72
6) 6π‘₯ 2 + 3π‘₯ = 84
Convert into vertex form.
7) 𝑦 = π‘₯ 2 βˆ’ 6π‘₯ + 12
8) 𝑦 = βˆ’π‘₯ 2 + 2π‘₯ βˆ’ 2
9) Given the parent function 𝑓(π‘₯), describe the
transformation.
a) 𝑓(π‘₯) βˆ’ 2
b) 𝑓(π‘₯ βˆ’ 2)
c) 5𝑓(π‘₯)
d) 𝑓(0.4π‘₯)
State how many and what type of solutions.
13) 𝑦 = π‘₯ 2 βˆ’ 4π‘₯ βˆ’ 5
14) 𝑦 = 4π‘₯ 2 + 8π‘₯ + 4
Given the parent function in the table, create a table for
the new transformation.
𝑓(π‘₯)
π‘₯
𝑓(π‘₯)
βˆ’2
4
βˆ’1
1
0
0
1
1
2
4
15) 3𝑓(π‘₯) + 4
16) 4𝑓(π‘₯ βˆ’ 2)
20) Find and graph the key features.
𝑦 = π‘₯ 2 + 4π‘₯ + 3
x-ints:
y-int:
Vertex:
Axis of Symmetry:
Min or Max: ______
Opens up or down