Standard Form

Standard Form

Finding The Zeros

Finding the Vertex

Factoring

Tranformations

100

What is (x+14)(x+14) in standard form?

x^2+28x+196

100

Find the zeros of this quadratic function- y=-2x^2+3x+5

x=-1 x= 5/2

100

What is the vertex of the quadratic function y=x^2+6x+9?

(-3,0)

100

Factor f(x)=25x^2+15x.

5x(5x+3)

100

The parent function of a quadratic equation is given as f(x)=x^2. When f(x)=x^2 is replaced by g(x)=ax^2 what effect will this have on the parent graph when a>1?

The parent graph will be vertically stretched.

200

Graph y= 3x^2 - 12x +10 Identify the vertex, y-intercept, and axis of symmetry

vertex: (2, -2) y-intercept: (0, 10) axis of symmetry: x=2

200

Using the quadratic formula, find the roots of 2x=x^2-3.

x=3 or x=-1

200

Find the vertex of f(x)=x^2-4x

(2,-4)

200

What is the value of j so that -9 and 9 are both solutions of x^2+j=103?

j=22

200

Describe the transformations of the function f(x)=3(x-5)^2-8.

What is a vertical stretch by a factor of 3, a horizontal translation 5 units to the right and a vertical translation 8 units down.

300

Write the function in vertex form: y= x^2 +2x+5

y= (x+1)^2 +4

300

Using the quadratic formula, find the roots of x^2-6x=-9

x=3

300

Find the vertex of -5x^2-y=2x-2

(-1/5, 11/5)

300

Factor the expression x^2+2x+4

Cannot be factored

300

Describe the transformations of the function f(x)=-(x-3)^2.

What is a reflection across the x-axis and a horizontal translation of 3 units to the right.

400

What is the minimum/maximum of this function: y=-3x^2+9x.

27/4 or 6.75

400

What are the zero(s) of the following quadratic function: (x-9)(x+6)

x=9 and x=-6

400

What is the vertex of f(x)=3x^2+9x+18.

(-3/2, 45/4)

400

You are making a 5ft-by-5ft square quilt for your mom. The quilt is made of 9 blue squares, with some white fabric in between them. You write the expression 25-9x^2 for the area of the white fabric. What is the factored form of this expression?

(5-3x)(5+3x)

400

Describe the transformations of the function f(x)=1/4x^2+3x-15

What is a vertical compression by a factor of .25, a horizontal translation 6 units to the left, and a vertical translation 24 units down.

500

A rock club's profit from booking local bands depends on the ticket price. Using past receipts, the owners find that the profit p can be modeled by the function p=-15t^2+600t+50, where t represents the ticket price in dollars. What price yields the maximum profit? What is the maximum profit?

$20 $6050

500

Find the zero(s) of the function by rewriting it in intercept form. g(x)=12x^2+5x-7

-1, 7/12

500

Find the vertex of (5x-5)(2x-2).

(1,0)

500

Factor the expression x^2+9x-36.

(x+12)(x-3)

500

Describe the transformation made by y=2(x−1)^2+3

What is a vertical stretch by a factor of 2, a horizontal translation 1 unit right and a vertical translation 3 units up.

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