Characteristics of Quadratics Standard Form

Does this graph have a maximum or minimum?

• Minimum

• Maximum

Tags

CCSS.HSF-IF.C.7A

The imaginary line that goes through the vertex of a parabola is called the...

• Vertex

• Axis of Symmetry

• x-intercept

• y-intercept

Tags

CCSS.HSF-IF.C.7A

The highest or lowest point on a quadratic is called the...

• Max

• Vertex

• Axis of Symmetry

• Intercept

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

In the standard form for quadratics: y=ax²+bx+c, what number can a never equal?

• 5

• 0

• 1

• 6

Label the graph. Match the zero smaller and larger values by placing the box on the graph next to what it represents.

g

f

b

e

a

Vertex (-4, 2)

Maximum

Vertex (-2, 4)

Axis of Symmetry: x = -2

Axis of Symmetry: x = -4

Minimum

x=0

x=-4

Axis of Symmetry: x = 0

Tags

CCSS.HSF-IF.C.7A

The standard form of a quadratic function is

• y = ax² + bx + c

• a(x - h)² + k

• y - y₁ = m(x - x₁)

• Ax + By = C

• Quadratic equation

• Cubic equation

• Linear equation

• Exponential equation

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5