Chapter 0 - Pre Requsite Skills

Question 1

To represent functions, we use notations such as, _______.

Also use an example like y=my + b

Answer 1

f(x) or g(x)
And an example would be
f(x)= 2x + 1

Question 2

Given -2f(4x) in f(x)= x^2 + 3x -2

Explain how to solve.

Answer 2

1. BEDMAS Multiply or square(given the situation) everything where an (x) is present.
2. BEDMAS Substitute the f(x) is present in the equation.
3. BEDMAS Finish everything check everything where common factors are available.

Question 3

Y=my + b, has m =____ and b = ____.

Answer 3

Y=my + b, has m = slope and b = y intercept.

Question 4

Given y=3x - 1 find m and y intercept

Answer 4

M = 3
Y = -1

Question 5

Given 2x - 7y = 14 solve for m and y.

Answer 5

M = 2/7

Y = -2

Question 6

Given Y + 2 = 7(x - 1) solve for m and y intercept.

Answer 6

M = 7

Y = -9

Question 7

What is the slope formula? Give the formula

Answer 7

The slope formula is a way to find the slope of an equation or line given that you have 2 coordinates.

M = y2-y1/x2-x1

Question 8

Write the equation into y= my + b, when the slope is -1 and the y-intercept is 7.

Answer 8

Y= -x + 7

Question 9

Solve in y= my + b, when the Slope is 2 and the line passes through the point (1, -4).

Answer 9

Y= my + b

(1, -4) let the coordinate be your x and y in the equation.

• 4 = 2(1) + b then solve for b
• 6 = b

Question 10

Standard Form
If a > 0 parabola opens ____ and has a _______

If a < 0 parabola opens _____ and has a _______

C is the __ intercept

Answer 10

If a > 0 parabola opens up and has a minimum.

If a < 0 parabola opens down and has a maximum.

C is the y-intercept

Question 11

What is the model for standard form

Answer 11

Y= ax^2 + bx + c

Where abc is the constants and c /= 0

Question 12

Y= 3x^2 - 4x + 7

What is the a value and what way does it open up or down? Does it have a max or min?

What is it’s y intercept

Answer 12

a = 3 so 3 > 0 so it has a minimum

7 is the y intercept

Question 13

Factored Form

a > 0 the parabola opens ____ and has a ______

a < 0 the parabola opens _____ and has a _______

Values r and s are the ________

Answer 13

a > 0 the parabola opens up and has a minimum

a < 0 the parabola opens down and has a maximum

Values r and s are the x intercepts

Question 14

What is the model for Factored Form

Answer 14

Y= a(x - r)(x - s)

Where a, r and a are the constants a/= 0

Question 15

Vertex Form

If a > 0 the parabola opens _____ and has a _______.

If a < 0 the parabola opens _____ and has a ________

(_, _) is the vertex

Answer 15

If a > 0 the parabola opens up and has a minimum.

If a < 0 the parabola opens down and has a maximum

(h, k) is the vertex

Question 16

What is Vertex Forms model

Answer 16

Y= a(x - h)^2 + k

Where a, h and k are constants a/= 0

Question 17

Y= -2(x + 4)(x - 3) What is the a value?

Does it open up or down? Does it have a max or min? What are the x intercepts?

Answer 17

a= -2 and -2 < 0, so the parabola opens down and has a maximum

The x-intercepts are -4 and 3