Chapters 1-7 Review
Basics of Quadratics
Vertex Form
Standard Form 1
Standard Form 2
100
Simplify the expression:
3x + 7 - 8x + 4
-5x+11
100
The graph of a quadratic function is always what shape?
Parabola
100
Which of the following equations is in vertex form?
a)
f(x)=a(x-h)^2+k
b)
f(x)=ax^2+bx+c
a
100
Which of the following equations is in standard form?
a)
f(x)=a(x-h)^2+k
b)
f(x)=ax^2+bx+c
b
100
When given standard form, what equation can you use to find h (the x-coordinate) of the vertex?
h=(-b)/(2a)
200
Solve the one-step equation:
-32= x/4
x=-128
200
Identify the vertex of the parabola:
(-3, 7)
200
In vertex form, what do the variables a, h, and k stand for?
a: Shape/direction
h: Horizontal shift
k: Vertical shift
200
TRIVIA! 400 POINTS!
On May 14th, 1804, this famous duo started their expedition. They were hoping to find direct water route, the Northwest Passage, that would connect the Atlantic and Pacific Oceans.
Lewis & Clark
200
Once you find h, how do you find k?
Plug in h and evaluate the original function.
300
Find the slope of the line:
1/2
300
Which of the following represent a quadratic function?
a)
f(x)=abs(x+2)+1
b)
f(x)=-2x+5
c)
f(x)=3x^2-2x+6
C
300
Describe the horizontal and vertical shift of a parabola with the equation:
f(x)=(x-5)^2+1
It will shift 5 to the right and 1 up.
300
Find h and k given the equation in standard form:
f(x)=-x^2+6x-10
(3, -1)
300
Find h and k given the equation in standard form:
f(x)=-2x^2+8x-9
(2, -1)
400
Evaluate the absolute value function for f(5):
f(x) =abs(3-x)-10
-8
400
Sketch a parabola that opens down. Then, identify the vertex and the axis of symmetry.
(on board)
400
Sketch a graph that fits the equation in vertex form:
f(x)=2(x-2)^2+4
opens up, vertical stretch, vertex at (2, 4)
400
Where will a parabola with this equation cross the x-axis? AKA... where are the zeros?
f(x)=x^2+11x+18
-2 and -9
400
Where will a parabola with this equation cross the x-axis? AKA... where are the zeros?
f(x)=x^2-13x+36
4 and 9
500
Simplify the exponential expression:
(4x^3)/(8x)
x^2/2
500
Evaluate the quadratic function for f(-2):
f(x)=3x^2-2x-7
9
500
Write an equation in vertex form that fits this parabola. Hint: a = 1
f(x)=(x+4)^2-5
500
Where will a parabola with this equation cross the x-axis? AKA... where are the zeros?
f(x)=x^2-3x-10
-2 and 5
500
Where will a parabola with this equation cross the x-axis? AKA... where are the zeros?
f(x)=x^2+4x-21
-7 and 3