Quadratics - Part 1

Question 1

The forms of a quadratic equation

Answer 1

1. Standard Form
2. Factored Form
3. Vertex Form

Question 2

Format of Standard Form

Answer 2

y = ax^2+bx+c

Question 3

Format of Factored Form

Answer 3

y = (ax+c)(bx+d)

Question 4

Format of Vertex Form

Answer 4

y = a(x+b)^2 + c

Question 5

This is an example of which Form?

y = 3x^2-2x+7

Answer 5

Standard Form

Question 6

This is an example of which Form?

y = 3(x+7)^2-4

Answer 6

Vertex Form

Question 7

This is an example of which Form?

y = (2x-1)(x+2)

Answer 7

Factored Form

Question 8

This is an example of which Form?

y = (3x-1)(x-5)

Answer 8

Factored Form

Question 9

This is an example of which Form?

y = 3x^2-16x+5

Answer 9

Standard Form

Question 10

This is an example of which Form?

y = -5(x-6)^2+22

Answer 10

Vertex Form

Question 11

Show this equation in Standard Form

y = (3x-1)(x+8)

Answer 11

y = 3x^2+24x-1x-8

y = 3x^2+23x-8

Question 12

Show this equation in Standard Form

y = 3(x-7)^2-4

Answer 12

y = 3(x-7)(x-7)-4

y = 3(x^2-7x-7x+49)-4

y = 3(x^2 - 14x+49)-4

y = 3x^2-42x+147-4

7 = 3x^2-42x+143

Question 13

Definition of x-intercept (sometimes called Root)

Answer 13

Position on a graph where the parabola intersects the x-axis

Question 14

A quadratic equation is associated with what type of graph?

Answer 14

a Parabola

Question 15

Definition of the y-intercept

Answer 15

Position on a graph where the parabola intersects the y-axis

Question 16

Definition of the Vertex

Answer 16

The (x,y) coordinates on a graph where the parabola is “turning”, i.e. the spot where the parabola reaches a maximum or minimum.

Question 17

b^n*b^m / b^k

=

b^n+m-k

Answer 17

Add exponents in the Numerator and subtract exponents in the Denominator