Question

Help me pls and if u can explain too.

Answer 1

Part 1

The gradient of the line is
`(11-1)/(-3-2)=-2`, so the equation is
`y=-2x+5`.

This means the system is

`y=-2x+5\\\\y=ax^2 +b`

Part 2

Substituting in the coordinates (-3,11) and (2,1) into the equation of the parabola,

`11=9a+b\\\\1=4a+b`

Subtracting the equations, we get 10=5a, and thus a = 2

Substituting a = 2 back into the system, we get b = -7

Part 3

The equation of the parabola is
`y=2x^2 - 7`, and the turning point is at
`x=0`. Therefore, the value of y is -7