Algebra Lab
Name: _______________________________
Period: ______________ Date: ___________
Chapter 9.1-9.4 Review
1. Write a quadratic equation in VERTEX form for a parabola with roots x= -1 and x= 6 and the equation (in
general form) 𝑦 = 5𝑥 2 − 25𝑥 − 30.
a. What is the x-coordinate of the vertex?
b. What is the y-coordinate of the vertex?
c. How did you determine the “a” value?
d. Equation in Vertex Form:
e. Graph
2. Convert each equation from vertex to general form and graph. Then state the domain, range, vertex and
line of symmetry.
a. 𝑦 = 3(𝑥 − 1)2 − 5
b. 𝑦 = −0.5(𝑥 + 2)2 + 10
General Form:
General Form:
Domain:
Range:
Domain:
Vertex:
Vertex:
Line of Symmetry:
Line of Symmetry:
Range:
3. Multiply to write in general form.
a. 𝑦 = (𝑥 + 5)(𝑥 − 4)
b. 𝑦 = −2(𝑥 + 4)2 − 5
c. 𝑦 = 3(𝑥 − 4)(𝑥 + 4)
Algebra Lab
Name: _______________________________
Period: ______________ Date: ___________
Chapter 9.1-9.4 Review
4. Solve for x symbolically. Leave your answers in exact/radical form.
a. 3(𝑥 − 1)2 − 5 = 16
b. −0.5(𝑥 + 2)2 + 10 = 5
5. Factor.
a. x2 – 9x + 18
b. 6x2 – 216
6. The table to the right shows the coordinates of a
parabola.
a. Plot the points on the graph.
b. What is the equation of the line of symmetry for this
graph?
c. 5x2 -10x – 70
x
1
2
3
4
5
d. 2x2 + 7x + 3
y
-10
-4
-2
-4
-10
c. Name the vertex of this graph.
d. What is the vertical stretch scale factor of this graph?
e. Write an equation for the parabola in VERTEX form.
7. Solve for the x-intercepts.
a. y = x2 – 3x – 40
b. y = 2(x – 4)(x + 7)
c. y = x2 – 100
d. y = 3x2 + 12x