Graph Shapes

√x

piano hand left

why is √x the shape it is

half a parabola on its side

Exponential

upward rollercoaster

where does y = a^x cross the y axis

1

What happens to y = a^x as a increases

becauses steeps. accelerates quicker both ways

Logarithmic

hill from hell

what happens to a log graph as the base increases?

steeper

what is the transformation to get an inverse graph

reflection in y = x

When is a graph concave down

f”(x) <= 0

When is a graph convex down

f”(x)>=0

as the exponent increases what does an exponential graph tend to

a right angle

as the base increases what does an exponential graph tend to

a right angle

Which will get closer to a right angle, multiplying the base or the exponent by a

the exponent