Quadratics General
Standard Form
Vertex Form
100

State if the following are quadratics are in standard form or vertex form: y=3x2+2x-1, y=x2-4x, y=-(x+4)2 + 5, and y = (x-7)2

3x2+2x-1 and x2-4x are in standard form and -(x+4)2+5 and (x-7)2 are in vertex form

100

Write in standard form y=2(x-6)2+12

What is y=2x2 - 24x + 84

100

Find the vertex of y=3(x-4)2 - 7 and describe the transformations.

What is (4,-7). Transformations are Right 4, Down 7, and Vertical Stretch

200

Find the axis of symmetry, vertex, zeros, and determine the max or min value.  

What is AOS: x=4, Vertex: (4,2), Zeros (2,0)(6,0) and the quadratic is a max with a value of 2

200

Find the axis of symmetry for y = x2 - 8x + 10

What is AOS x=4

200

Find the vertex, AOS, and max or min value of y=-2(x+3)2 + 7

Vertex (-3,7), AOS: x=-3, Max Value of 7.

300

Find the domain and range

What is Domain: -∞ < x < ∞ or (-∞,∞) or All Real Numbers, Range: y≤2 or (-∞,2]

300

Find the axis of symmetry, vertex, and determine if it is a max or min. y = x2 - 2x - 5

What is AOS x=1, Vertex (1,-6), and the quadratic is a min

300

What is the AOS, Domain, Range, and Zeros of the following graph?

AOS: x=0, Domain: (-∞,∞), Range: [-8,∞), Zeros: (-2,0)(2,0)

400

How long is the soccer ball in the air and what is the vertex of the ball? (Hint: x-axis is time and y-axis is height)

9 seconds and the vertex is approximately (2.5,6)

400

Graph y = -3x2

State the domain and range in any notation

Domain: (-∞,∞) or All real numbers

Range: (-∞,0] or y≤0


400

Graph and state the domain and range in any notation:

y=1/2x^2

Domain: (-∞,∞) or All Real Numbers

Range: [0,∞) or y≥0

500

Find the domain and range of y=x2 - 5

What is Range: y≥-5 or [-5,∞). The Domain (-∞,∞) or -∞<x<∞

500

Graph y = x2 - 6x + 4

500

Find the vertex and Graph y = -2(x-3)2 + 6