Key Characteristics
What is the vertex of the following Quadratic?
y=(x-5)^2+4
(5,4)
(-h,k)
What is the standard form of a quadratic function?
(look on your yellow formula chart)
f(x)=ax^2+bx+c
Identify the root(s):
x2-13x-30=0
x=-2,15
What is the positive solution:
2x2+13x-15=0
(1,0) or x=1
What is the y-intercept of the following quadratic?
y=3x^2+9x-14
(0, -14)
Solve the quadratic:
x^2+8x=0
-8 & 0
A function that approximates this ride is
h= -16t2 + 64t + 60, where h is the height in feet and t is the time in seconds. About how many seconds does it take for riders to hit ground level?
4.78 seconds
What is the negative solution:
2x2-8x=42
(-3,0) or x=-3
Find the axis of symmetry from the following Quadratic:
y=2x^2+8x-13
AoS=-b/(2a)
x=-2
Solve the quadratic:
x^2-12x=0
0 & 12
A diver's height above the surface of the water can be modeled by h = -16t2 - 8t + 120.
How long will it take the diver to reach the water?
2.5 seconds
(5/2 seconds)
Which is equivalent to √150?
A. 15√10
B. 6√5
C. 5√6
D. not here
C. 5√6
Give the vertex for the following Quadratic:
y=(x-9)(x+1)
(4, -25)
Solve the following Quadratic:
x^2+10x=24
x=2,-12
A skateboarder's jump can be represented by the equation h = -8t2 + 8t + 12 where h is the height at t is time in seconds. How many seconds did it take for the skateboarder to land on the ground?
1.8 seconds
Identify the zero(s):
-16t2 + 320 = 0
A.√2
B. 2√5
C. 5√2
D. 2√10
B. 2√5
Identify the axis of symmetry for the following Quadratic:
y=(x-9)(x+1)
x=4
Solve the following Quadratic:
x^2-14x=51
x=17,-3
The number of stamps collected can be modeled by
y = 2x2 + 13x + 45 where x is the number of years they have been collected and y is the number of stamps. How many years would it take to collect 195 stamps?
6 years
Solve the quadratic: x2+12x=-18
A. -6 ± 3√6
B. -12 ± 3√14
C. -6 ± 3√2
D. -9 ± 2√3
C. -6 ± 3√2