Find the equation of the parabola with its vertex at the origin and focus at (–3, 0).

2 answers:

8 0

This is a horizontal parabola and the coordinates of vertex are ( 0, 0 ).
Also the coordinates of focus are: F ( -3, 0 )
so f = -3 and p = 2 f = 2 * ( - 3 ) = - 6
The formula is:
x² = 2 p y
x² = 2 * ( - 6 ) y = - 12 y
Answer:
The equation of the parabola is:
x² = - 12 y.

damaskus [11]2 years ago

6 0

Answer:

y^2=-12x

Step-by-step explanation:

got it right on Ed

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Pls help me no explain need ❤️❤️❤️

RoseWind [281]

Answer:

$\displaystyle m=2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, 0)

Point (-9, -8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-8-0}{-9+5}$
[Fraction] Subtract/Add: $\displaystyle m=\frac{-8}{-4}$
[Fraction] Divide: $\displaystyle m=2$

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