equations
How do you find the Y-value of any quadratic?
Set x=0 and solve
describe the transformation of the equation y=x2 +3
up 3
what is the vertex of this equation?
y=(x+3)2 _2
Vertex = (-3,-2)
What is the "a" value in this equation?
Y=x2- 6x+11
A= 1
What is the first step to solving intercept form?
plot x-intercepts (p,q)
What is the equation for intercept form?
Y=a(x-p)(x-q)
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
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)
what is the y-intercept in this equation?
f(x)=-2x2+8x-3
(0,-3)
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
would this equation be shaded inside or outside the parabola?
y<(x-5)(x+3)
0<-15
not ture-shaded outside
describe the transformation and the x and y intercepts
f(x)=-2(x-2)2+3right 2, up 3, vertical flip
Y-intercpets: (0,-1)
x-intercepts:(2±√3,0)
what is the y-intercept of
h(x)=3(x-1)2-2
(0,1)
identify the vertex, AOS, and A-value
AOS:x=-5
V: (-5,0)
A: -2
find the vertex and AOS of
y=2(x+1)(x-3)
AOS: x=1
V: (1,-8)
what is the quadratic equation of y=ax2+bx+c
standard form
describe the transformation
f(x)=x2 to g(x)=-2/3(x-4)
right 4
vertical shrink
vertical flip
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)
identify the vertex, AOS, and A-value
y=-3x2+6x-3
what are the x-intercept(s) of
y=-(x+2)(3x-1)
(-2,0)(1/3,0)
what is the equation of the axis of symmetry for y=1/2(x-3)(x+1)
x=1
describe the transformation
f(x)=x2 to h(x)=5(x+4)2-6
left 4 down 6, vertically stretched by 5
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)
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
sketch the graph of the quadratic inequality
y<-(x+3)(x-3)
AOS: x=0
V: (0,9)
A:-1
shaded inside