Graphing Quadratics and Inequalities

equations

100

How do you find the Y-value of any quadratic?

Set x=0 and solve

200

What is the equation for intercept form?

Y=a(x-p)(x-q)

300

would this equation be shaded inside or outside the parabola?

y<(x-5)(x+3)

0<-15

not ture-shaded outside

400

what is the quadratic equation of y=ax²+bx+c

standard form

500

what is the equation of the axis of symmetry for y=1/2(x-3)(x+1)

x=1

transformations

100

describe the transformation of the equation y=x² +3

up 3

200

for the function below:

Where will the vertex be located?

Is the vertex a minimum or maximum

f(x)=x²-15

V:(0,15)

Minimum

300

describe the transformation and the x and y intercepts

f(x)=-2(x-2)²+3

right 2, up 3, vertical flip

Y-intercpets: (0,-1)

x-intercepts:(2±√3,0)

400

describe the transformation

f(x)=x² to g(x)=-2/3(x-4)

right 4

vertical shrink

vertical flip

500

describe the transformation

f(x)=x² to h(x)=5(x+4)²-6

left 4 down 6, vertically stretched by 5

Vertex form

100

what is the vertex of this equation?

y=(x+3)^{2 _}2

Vertex = (-3,-2)

200

identify the vertex, x-intercepts, and the y-intercepts of the equation

y=x²+4

V: (0,4)

X-int-NONE

Y-int-(0.4)

300

what is the y-intercept of 

h(x)=3(x-1)²-2

(0,1)

400

identify the transformation, identify vertex as ordered pair, identify x-intercepts as ordered pair, identify y-intercepts as ordered pair

y=1/2(x-1)²+2

a) vertical shrink, right 1, up 2

b) (1,2)

c (1,0)

d (0,2)

500

identify the transformation, identify vertex as ordered pair, identify x-intercepts as ordered pair, identify y-intercepts as ordered pair

y=3(x+8)-27

a) vertical stretch, left 8, down 27

b) (-8,-27)

c) (-8,0)

d) (0,-27)

Standard form

100

What is the "a" value in this equation?

Y=x²- 6x+11

A= 1

200

what is the y-intercept in this equation?

f(x)=-2x²+8x-3

(0,-3)

300

identify the vertex, AOS, and A-value

AOS:x=-5

V: (-5,0)

A: -2

400

identify the vertex, AOS, and A-value

y=-3x²+6x-3

500

graph the system of inequalities

y>2x²-20x+53

y>-x²+12x-28

1st equation: AOS: x=5, vertex: (5,3), A=2, shaded inside

2nd equation: AOS: x=6, vertex: (6,8), A=-1, shaded outside

Intercept form

100

What is the first step to solving intercept form?

plot x-intercepts (p,q)

200

Graph the quadratic using the vertex and 4 additional points. Label the AOS and the vertex

y=(x+4)(x-2)

x=1

V:(-1,-9)

A=1

300

find the vertex and AOS of 

y=2(x+1)(x-3)

AOS: x=1

V: (1,-8)

400

what are the x-intercept(s) of 

y=-(x+2)(3x-1)

(-2,0)(1/3,0)

500

sketch the graph of the quadratic inequality

y<-(x+3)(x-3)

AOS: x=0

V: (0,9)

A:-1

shaded inside