Question

y=sqrt of x+5 find intercepts

Answer 1

for any curve, the places where it crosses the x- and y-axes are called the intercepts.

you also know that y must be zero at the point at which the curve crosses the x-axes.

similarly, x must be zero at the point at which the curve crosses the y-axes.

therefore, to find the intercepts, you just need to first set y=0 in your equation and solve for x. then set x=0 and solve for y.

hope that makes sense?

Answer 2

i get the process but it the algebra part im not sure about when i set y to zero then do i substract 5 im stuck there

Answer 3

so you are given:\[y=\sqrt{x+5}\]is that right? or is it \[y=\sqrt{x}+5\]

Answer 4

@SoloN8v88 - which one is the correct equation - the first one I typed or the second one?

Answer 5

yes the the first one

Answer 6

ok, so you are given:\[y=\sqrt{x+5}\]and asked to find the intercepts.
lets start with the x-intercept which is where y=0, this gives:\[0=\sqrt{x+5}\]now square both sides to get:\[0^2=x+5\]\[o=x+5\]finally subtract 5 from both sides to get:\[-5=x\]so now you know that the x-intercept is at the point \((-5,0)\)

follow the same principal to find the y-intercept.

Answer 7

oh crap the sq rt of x+is actually being multiplied by x

Answer 8

x+5

Answer 9

you can use the Draw button below - that might make it easier for you to enter your equations

Answer 10

ok thanks