Let's Factor
All about Quadratics
Misc Trivia
Functions & Function Notation
Transforming Functions
100
Factor the following simple trinomial
`y=x^2+4x-21`
`y=(x+7)(x-3)`
100
What is the quadratic formula?
Bonus: When do we use it?
`x=(-b+-sqrt(b^2-4ac))/(2a)`
100
Who is missing in this picture?
Captain America (Steve Rogers)
100
suppose
`f(x)= 4x - 6`
What is the value of f(3)?
`f(3)=4(3)-6`
`f(3)=12-6=6`
100
Suppose
`f(x)= 1/x`
What transformations are applied to f(x) to give
`g(x)=f(x+3)-6`
f(x) is shifted 3 units left and 6 units down
200
Please factor the following polynomial fully:
`y=-4x^2+36`
`y=-4(x^2-9)`
`y=-4(x+3)(x-3)`
200
What is the value of the discriminant for
`y=2x^2+3x+4`
`d=sqrt(b^2-4ac)`
`d=sqrt(3^2-4(2)(4))=sqrt(9-32)`
`d=sqrt(-23)`
200
The youngest person to ever achieve a Ph.D is Karl Witte - in Philosophy.
How old do you think they were when they accomplished this?
13
200
What are the equations of the horizontal and vertical asymptotes of
What is the x-intercept of
`f(x)=6/(3(x-5))+2`
`x=5`
`y=2`
200
What transformations are applied to
to give
`g(x)=-sqrt(3(x+4)`
- Reflected over x-axis
- Horizontally compressed by a factor of 1/3
- Shifted 4 units left
300
What are the x-intercepts of
`f(x)=3x^2+10x+8`
`(-2,0) and (-4/3,0)`
300
What are the x-intercepts of:
`y=2(x-4)^2-8`
`(2,0) and (6,0)`
300
Name the country:
Somalia
300
What is the domain of
`g(x)=sqrt(4(x-2))`
`{x in R|x>=2}`
300
Suppose f(x) = x2
Sketch a picture of h(x)= 2f(0.25x). Your sketch should include at least 3 labeled points.
Sketch a picture of h(x)= 2f(0.25x). Your sketch should include at least 3 labeled points.
