Question

tangent to x^2 +1 and parallel to y = x

Answer 1

so parallel to y = x means that they must have the same slope which is 1
y = x^2 + 1
dy/dx = 2x
2x = 1
x = 1/2

sub 1/2 into y and you get y = (1/2)2 + 1 = 1
so line tangent to y has the point (1/2,1) and has a slope of 1
sooo

y = mx + b
where m = 1
y = x + b
sub in the point (1/2,1) to give
1 = 1/2 + b
b =1/2
therefore the equation of the line is::

y = x + 1/2

Answer 2

where you said (1/2)2+1=1 you were wrong but i totally understand thanks

Answer 3

ohh opps sorry bout that i thought it was times 2
1/4 + 1 = 5/4 then etc..

Answer 4

then y = x + 3/4