Lord FarQUAD
What can the discriminant tell you about a quadratic function?
The number of possible solutions to a quadratic funciton
Factor b2+8b+7
(b+7)(b+1)
What are the solution(s) to the following function?
f(x) = x2-121
x=11 and x=-11
What is the first step to solve quadratics by factoring?
Write the equation in standard form.
ax2+bx+c
What is an obvious sign that a function or equation is a a quadratic?
The highest power is 2 / exponent of 2 on the x
What is vertex form of a parabola? And what information can you get form it?
y=a(x-h)2+k and you can get the vertex from (h, k)
Factor m2+m-90
(m-9)(m+10)
Solve the equation for x
4x2+76=32
No real solutions
Handsome Squidward jumped into Goo Lagoon form a cliff. The function that models this is f(t)=-16t2+16t+480 where t is the time and h is the height. After how many seconds did Squidward hit the water?
After 6 seconds
What is the official name for the shape of a quadratic function when graphed?
Parabola
What is the missing value for c that could make this equation a perfect square trinomial?
x2+14x+c
49
Solve 5x2+5x-10=0
x=-2 and x=1
What are the solutions to the equation
f(x)=x2+4x+5
no real solutions
A toy rocket is launched vertically upward and is modeled by the equation
h(t)=-16t2+128t, where t is time in seconds and h height. How long will it take the rocket to reach its max height?
4 seconds
What information does the "c" in a standard written quadratic function tell me?
The y intercept.
What special factoring identity is this?
a2-b2=(a+b)(a-b)
Difference of squares
Solve the equation
x2+9x-36=0
x=-12 and x=3
f(x)=x(x-9)
x=0 and x=9
Spongebob is launching jellyfish. He launches one that is modeled by the function of h(t)=-16t2+32t+5, where t is time in seconds and h is the height reached.
What is the max height of the jellyfish?
21 feet
How do I know if a parabola is concave up or concave down?
Look at the value of "a" when it is written in standard form
When completing the square for the following equation, what must you add to both sides?
x2-12x-2=0
add 36 to each side
Find the roots of the function
3r2+18r=21
r=-7 and r=1
What is the solution of x2+4x=3
x=-1 and x=-3
The profit of a store is described by f(x)=-4x2+16x+25, where x is the number of items made. How many items will maximize profit?
X= 2
What are the roots of a parabola in a graph?
The solutions to solving a quadratic or on the graph, the points where the parabola intercepts the x-axis.