I need help URGENTLY!!

Question

y= maximum vertical distance 

h= maximum horizontal distance 

 

y=-(x-h)²+47

 

Find the maximum vertical distance and maximum horizontal distance

 

I DO NOT UNDERSTAND HOW TO WORK IT OUT? COULD YOU PLEASE WORK THIS OUT AS AN EXAMPLE PLEASE

Answer 1

y=-(x-h)²+47 is the equation of an upside down parabola.  The maximum y value occurs when x = h, so that the squared quantity (which is to be subtracted from 47), is zero.

 

This is a function and there are NO restrictions on x (domain of function), so I think your question about max. horizontal distance is unclear because part of the context of the question has been omitted.

 

 

Answer 2

The function you have given is the vertex form of a parabola.

 

y = a(x - h)² + k

 

where:

a is the coefficient of x²

(h, k) is the vertex

 

You get your maximum value from the vertex.

 

maximum horizontal distance = h

maximum vertical distance = k

 

In this case, k=47.