moochpoop moochpoop
  • 04-05-2022
  • Mathematics
contestada

A parabola y= ax^2 + k
passes through the points (-1, -3) and (3, 13). Find the values of a and k

Respuesta :

bobymcbobbing bobymcbobbing
  • 04-05-2022

Answer:

use vertex form of parabola:

y=a%28x-h%29%5E2%2Bk....if vertex (0,7), we have

y=a%28x-0%29%5E2%2B7

y=ax%5E2%2B7......use point (3,2) to find a

2=a%2A3%5E2%2B7

2=9a%2B7

2-7=9a

-5=9a

a=-5%2F9

so, your equation is: y=-%285%2F9%29x%5E2%2B7

Step-by-step explanation:

Answer Link

Otras preguntas

what is a vortex? need some help
could you tell me what is sputnik?
Given the volume of a cube is 8 cubic meters, find the distance from any vertex to the center point inside the cube. (A) 1 m (B) √2 m (C) 2√2 m (D) 2√3 m (E) √3
In what ways did contributions from African Americans aid the struggle for abolition?
What Is Ethane? Can you help me?
3)    Write an equation for a graph that is the set of points in the plane that are equidistant from the point  F(6,0) and the line x = -6.
how do you convert mol dm-3 to gdm-3 and vice versa
How do you divide with a two digit number? Like 183 850 divided by 48.
In what ways did contributions from African Americans aid the struggle for abolition?
What is the base of Apothecary