Topic 7
Simplfy (3x2+5x)+(-4x2-3x+9)
-x2+2x+9
What is the y intercept of the function y=x2-7x+12
(0,12)
Given the graph of f(x), for what value of x does f(x)=0
x=2 and x=6
simplify the following Square root
x = 17 and x=-17
What is the vertex form of a quadratic?
y=a(x-h)2+k
Multiply (2x + 1) (3x + 4)
6x2 + 11x + 4
What is the vertex of f(x)= -2(x-8)2+4
(8, 4)
Solve (2x + 1) (3x + 4)=0
x = -1/2 and x=-4/3
Solve the following system of equations.
y=x2-2x-5
y=3x-3
x=5.372 and x=.372
(5.372, 13.117)and (.372, -4.117)
What is the standard form of a quadratic?
y=ax2+bx+c
Factor x2+8x+16
(x+4)(x+4)
What is the vertex of y=x2-8x+12
(4,-4)
Given the table, what are the solutions to the function.
x=3 and x=6
Find c to complete the square for x2+18x+c.
c=81
How do you find the axis of symmetry?
x=-b/2a
Factor x2+5xy+6y2
(x+2y)(x+3y)
Identify the transformation of the function
f(x)= -2(x-8)2+4
flipped, skinnier, right 8, up 4
Solve by factoring 22x+121=-x2
x = -11
Solve 4x2=144
x=6 and x=-6
What is the discriminant and what can it help you find?
b2-4ac, will help you find the number of solutions.
Factor 2x2+13x+15
(x+5)(2x+3)
A diver jumps off a 300 ft cliff downward with an initial velocity of 12ft/sec. Write a quadratic function to represent the height,h, of the diver, t, seconds after the jump.
h(t)=-16t2+12t+300
Find the value of the discriminant AND determine the correct number of solutions.
10x2-4x-25=0
discriminant=1016
2 real solutions
2x2+11x+14=0
What is the vertical motion model and what do each of the components stand for?
h(t)=-16t2+v0t+h0
-16t2 -> acceleration due to gravity
v0t -> initial velocity
h0 -> initial height