Unit 4 Day 2: Quadratics in Standard Form

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x=-5

Find the axis of symmetry of: y=x²+10x+33

x=3

Find the axis of symmetry of: y=x²-6x+5

x=0

Find the axis of symmetry: y=x²-3

Min @ y=-6

Find the max/min point: y=x²+12x+30

y=(x+5)²+8

Find the vertex form of y=x²+10x+33

y=(x+8)²+7

Find the vertex form of y=x²+16x+71

y=(x+1)²+3

Find the vertex form of y=x²+2x+4

y=(x+2)²-4

Find the vertex form of y=x²+4x

y=(x+2)²+2

Find the vertex form of y=x²+4x+6

y=(x+3)²+4

Find the vertex form of y=x²+6x+13

y=(x+4.5)²-0.25

Find the vertex form of y=x²+9x+20

y=(x-5)²-2

Find the vertex form of y=x²-10x+23

y=(x-6)²+10

Find the vertex form of y=x²-12x+46

y=(x-1)²-6

Find the vertex form of y=x²-2x-5

y=(x-3)²-4

Find the vertex form of y=x²-6x+5

y=(x-4)²-5

Find the vertex form of y=x²-8x+11

(0,-3)

Find the vertex of f(x)=-2x²-3

(-1,1)

Find the vertex of f(x)=x²+2x+2

Vertex: (-1, 8)

Find the vertex of:

Vertex: (-3, -13)

Find the vertex of:

Vertex: (0, -6)

Find the vertex of:

Vertex: (0,3)

Find the vertex of:

Vertex: (4, -16)

Find the vertex of:

Vertex: (6, 77)

Find the vertex of: y=-2x²+24x+5

Vertex: (7,0)

Find the vertex of: y=-2x²+28x-98

Vertex (1, -4)

Find the vertex of: y=-2x²+4x-6

Vertex: (5,-3)

Find the vertex of: y=-3x²+30x-78

Vertex (1,1)

Find the vertex of: y=3x²-6x+4

Vertex: (4,1)

Find the vertex of: y=5x²-40x+81

Vertex: (-2,-4)

Find the vertex of: y=x²+4x

Vertex: (6,10)

Find the vertex of: y=x²-12x+46

(0,33)

Find the y-intercept of y=x²+10x+33

(0,71)

Find the y-intercept of y=x²+16x+71

(0,4)

Find the y-intercept of y=x²+2x+4

(0,0)

Find the y-intercept of y=x²+4x

(0,6)

Find the y-intercept of y=x²+4x+6

(0,13)

Find the y-intercept of y=x²+6x+13

(0,20)

Find the y-intercept of y=x²+9x+20

(0,23)

Find the y-intercept of y=x²-10x+23

(0,46)

Find the y-intercept of y=x²-12x+46

(0,-5)

Find the y-intercept of y=x²-2x-5

(0,5)

Find the y-intercept of y=x²-6x+5

(0,11)

Find the y-intercept of y=x²-8x+11

a=5 h=2 k=-7

Identify the a, h, and k-values: y=5x²-20x+13

a=1 h=-5 k=0

Identify the a, h, and k-values: y=x²+10x+25

a=1 h=-3 k=-5

Identify the a, h, and k-values: y=x²+6x+4

x=1

Identify the axis of symmetry: y=-2x²+4x+3

x=-6

Identify the axis of symmetry: y=x²+12x+36

max @ y=-16

Identify the max/min point: y=-x²-4x+12

minimum @ y=-2

Identify the max/min point: y=3x²-2

y=x²-9

Identify the vertex form equation: y=x²-9

(-3,2)

Identify the vertex:

(0,-4)

Identify the vertex:

(2,3)

Identify the vertex:

(0,5)

Identify the y intercept: f(x)=x²+2x+5

(0,3)

Identify the y intercept: f(x)=x²-3

Down

If the coefficient of x² is negative, the parabola opens ____________.

Up

If the coefficient of x² is positive, the parabola opens ____________.

Parabola

The bell-shaped graph of a quadratic function is called a ______________.

Vertex

The turning point of a parabola, either the maximum or minimum

Axis of Symmetry

A vertical line that passes through the vertex and splits the parabola in half. All points are reflected across this line.

Standard Form of a Quadratic Function

f(x) = ax²+bx+c, where a≠0

Axis of Symmetry

x=-b/2a

parent function

y=x²


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