PART A
The equation of the parabola in vertex form is given by the formula,

where

is the vertex of the parabola.
We substitute these values to obtain,

The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.




Hence the equation of the parabola in vertex form is

PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

This implies that

We expand to obtain,

This will give us,


This equation is now in the form,

where

This is the standard form
Answer:
The equation of the line is:

Step-by-step explanation:
We know that the slope-intercept of line equation is

Where m is the slope and b is the y-intercept
Given the two points on a line
Finding the slope between (0, 3) and (-2, -5)




We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.
From the graph, it is clear:
at x = 0, y = 3
Thus, y-intercept = b = 3
Substituting m = 4 and b = 3 in the slope-intercept form of line equation


Therefore, the equation of the line is:

Answer:
27
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
3 - 6(z - 2)
z = -2
<u>Step 2: Evaluate</u>
- Substitute in <em>z</em>: 3 - 6(-2 - 2)
- (Parenthesis) Subtract: 3 - 6(-4)
- Multiply: 3 + 24
- Add: 27
Answer:
Step-by-step explanation:
Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )
divide 16 by 2: 8
multiply that by 13: 104
Tell me if this helps or not bc I'm not really sure, but I really hope I helped!
Answer:
2^6
Step-by-step explanation:
2*2*2*2*2*2
There are six 2's multiplied together so the base is 2 and the exponent is 6
2^6