Formulas
What is the standard form of a quadratic equation?
ax2+bx+c=0
4a2+8a+16=0
No solution
What is projectile motion?
An object that is shot up in the air that forms a parabola
Give the number of real roots:
6x2+4x+5=0
0 real roots
What is the Pythagorean theorem?
a2+b2=c2
3x2+4x-5=0
x=(-2+-√19)/3
What is an example of a vertical stretch?
Ex: y=7(x)2
What is i?
The square root of negative 1
Give me direct variation in terms of k
y=kx2
Solve for b.
a=4
b=?
c=16
4√15
What is a graph of a quadratic function called?
A parabola
The parent function f(x)2 is transformed to 7(x)2 -3 (describe the transformations)
-vertically stretched by a factor of 7
-shifted to the down by 3
Give me inverse variation as the square in terms of k
y=k/x2 or x2y=k
Solve for a.
a=?
b=40
c=50
a=30
What are the synonyms for the points at which at which a quadratic function crosses?
roots, solutions, and zeros
True or false:
To find the y-intercept plug in x as 1
False
What is vertex form?
y=a(x-h)2+k
Find the vertex of: -5x2+20x-2
2,18
What is the vertex?
The top most or bottom most point
Write the transformations:
f(x)=2(x-3)2+1 is shifted to the left by 4 and shifted down by 5.
f(x)=2(x-7)2-4