Graphs of Quadratics
Converting Forms
100
Does this quadratic function open up, or down? f(x) = -9(x+6)(x+4)
What is "down" because of the negative "a" value
100
f(x)=a(x+3)2-4

Find vertex, AOS, concav, min/max value, domain, range, y-int, and x-int

Vertex: (-3,-4)

AOS: x=-3

concave:up

Min value: y=-4

domain: all real numbers

Range: [-4,infinity)

y-int:(0,5)

x-int: (-1,0) and (-5,0)

200

f(x)=2x2+5

Vertex, AOS, Concavity, Max/Min value, Domain, Range, X-int, Y-int

(0,5)

x=0

concav up

min value

y-int: (0,5)

200

Convert the function that is in factored form to standard form. f(x) = -3(x-1)(x-3)

What is -3x2 +12x -9

300

What are all possible amounts of x-intercepts

3;no intercept, 1 intercept, 2 intercepts

300
Convert the function that is in factored form to standard form. f(x) = -5/8 (x-6) (x+2)
What is -5/8x^2 + 15/4x + 15/2
400
What is another name for the maximum or minimum point of a quadratic function?
What is vertex
400
Convert the quadratic function in vertex form to standard form. f(x) = 3(x-4)^2 +7
What is 3x^2 - 24x +55
500

What is the vertex of this quadratic function? f(x) = 0.25(x-4)2 +2

What is (4,2)

500

Convert the quadratic function in vertex form to standard form. f(x) = -2 (x+1)2 - 5

What is -2x2 - 4x - 7

M
e
n
u