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Quadratic Formula
Discriminant
Graphs/Graphing Calculator
Projectile Motion
Misc. Review
100
Write the following equation in standard form: 3x^2-8x+7=2x^2-x-1
x^2-7x+8=0 or -x^2+7x-8=0
100
Given a=-1, b=2, c=-4 of a quadratic equation in standard form, what is the discriminant?
-12
100
What is the y-intercept of the function f(x)=-3.4x^2-.5x+9
(0,9)
100
Aaron throws a ball from the outfield toward home plate. The ball’s height above the ground is modeled by the equation h(t) = −16t^2 + 48t + 6.6 where h represents the height, in feet, and t represents time, in seconds. How tall is Aaron? (What is the height of the ball when it is initially thrown?)
h(0)=6.6 ft.
100
What is the equation to determine the axis of symmetry?
x=-b/2a
200
What is the value of x given x^2+6x+9=0
x=-3
200
Given the discriminant of a quadratic equation is 65, how many x-intercepts will the related function have?
2
200
Determine to the nearest tenth the x-intercepts of the function f(x)=-4.24x^2-2x+7
(-1.5,0),(1.1,0)
200
Aaron throws a ball from the outfield toward home plate. The ball’s height above the ground is modeled by the equation h(t) = −16t^2 + 48t + 6.7 where h represents the height, in feet, and t represents time, in seconds. What is the height of the ball after 2 seconds?
h(2)=38.7 ft.
200
Simplify i^63
-i
300
Solve the equation in simplest radical form using the quadratic formula: x^2-2x+2=0
x=1+i,1-i
300
Which of the equations have only real solutions? A. (x-4)^2=0 B. 2x^2+8=3x C. (x+1)(x+3)=-14 D. x^2+3x-7=0
A,D
300
To the nearest tenth, what is the vertex of the function f(x)=-4.65x^2+8x+2
(0.9,5.4)
300
Aaron throws a ball from the outfield toward home plate. The ball’s height above the ground is modeled by the equation h(t) = −16t^2 + 48t + 6.7 where h represents the height, in feet, and t represents time, in seconds. What is the maximum height the ball will achieve and when does it occur?
The ball will reach its maximum height of 42.7 ft. after 1.5 seconds
300
What is the complex conjugate of 2-3i?
2+3i
400
What is the value of b given the quadratic equation 3x^2-x+9=x^2-3x+1 such that the related function has a y-intercept at (0,-8)
b=-2
400
Given the quadratic equation 2x^2-6x+3=0, determine the discriminant as well as the number and types of roots.
Discriminant=12 2 real, irrational
400
Given the quadratic equation 4x^2-2x-1=0, determine which calculator entry produces the correct discriminant
A
400
Aaron throws a ball from the outfield toward home plate. The ball’s height above the ground is modeled by the equation h(t) = −16t^2 + 48t + 6.7 where h represents the height, in feet, and t represents time, in seconds. How many seconds after the ball is thrown will it again be 6.7 feet above the ground?
3 seconds
400
Simplify √(-45)-√(- 125)+ 2√(-5)
0
500
List 2 things the quadratic formula can be used for
Roots of quadratic equations x-intercepts of related function discriminant gives types/number of roots
500
Given the quadratic equation x^2-bx+1=0, find the value of b such that the equation has 1 real root.
b=2
500
Given the quadratic equation 4x^2-2x-1=0, determine which calculator entry produces the correct positive solution
C
500
Aaron throws a ball from the outfield toward home plate. The ball’s height above the ground is modeled by the equation h(t) = −16t^2 + 48t + 6.7 where h represents the height, in feet, and t represents time, in seconds. To the nearest hundreth of a second, how long will it take for the catcher catch the ball assuming the catcher's glove is 3 feet above the ground?
3.08 seconds
500
Determine the domain and range of the function: f(x)=-3x^2+3x-8
Domain: All real numbers Range: y<=-7.25