Quadratic Misc.
Standard Form
Vertex Form
Random
100
Given:
f(x)=ax^2
What values of a will make the graph of the parabola wider?
0< x< 1
100
What is your a value, your b value, and your c value in the following equation:
y=-2x^2+9x-1
a=-2
b=9
c=-1
100
What point is the vertex of
(1,-4)
100
Where is Mr. Jobe?
Montana
200
Given:
f(x)=ax^2
What values of a will flip the parabola over the x-axis and make the graph more narrow?
x<-1
Any number less than -1
200
What is the y-intercept of
y=-2x^2+4x+3
(0,3) or 3
200
If a=1, write the function of the parabola in Vertex Form
y=(x-1)^2-4
200
Besides the Red Sox, what other MLB has their Spring Training in Fort Myers?
Minnesota Twins
300
Name that form:
y=-7(x+1)^2-3
Vertex Form
300
Find the coordinates of the point with x value -1:
y=4x^2-10x+2
(-1, 16)
300
Find the vertex of the equation:
y=(x+4)^2-1
(-4, -1)
300
What city did Anne Frank live?
Amsterdam
400
Name that form:
y=3x^2-11x+7
Standard Form
400
Find the axis of symmetry of the following parabola:
y=2x^2-12x+9
x=-b/(2a)
x=-(-12)/(2*2)
x=3
400
Will the graph of the following equation have a maximum or minimum?
y=-3(x+1)^2-3
Maximum
400
What is tomorrow?
Pi Day!
500
The function
h(t) = -16t^2+32t+24
models the height h, in feet, of a ball t seconds after it is thrown straight up into the air. To the nearest foot, what is the maximum height of the throw?
All that is needed is the y-coordinate of the vertex
You can find the x value with
-b/(2a)
-32/(2(-16) )=1
Then find h(1) = 40 feet
500
Find the coordinate of the vertex:
y=-3x^2-12x+10
(-2,22)
500
The graph of h is the graph of
f(x)=x^2
translated 3 units right and 5 units up. Write the function h in vertex form.
h(x)=(x-3)^2+5
500
What country did St. Patrick live?
Ireland