A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis.

Which statements about the parabola are true?

SELECT TWO OPTIONS

The directrix will cross through the positive part of the y-axis.
The equation of the parabola will be in the form y^2 = 4px where the value of p is negative.
The equation of the parabola will be in the form x^2 = 4py where the value of p is positive.
The equation of the parabola could be y^2 = 4x.
The equation of the parabola could be x^2 = -1/2y.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

x-3y=4

step-by-step e

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b