graph transformations

what is the order of transformations when listing?

b,h,a,k

what happens when b is negative?

there is a reflection over the y axis

what happens when b is greater than 1?

there is a h shrink by the reciprocal of b.

what happens when is less than 1?

there is a horizontal stretch by the reciprocal of b.

what is h?

horizontal translation

how do you determine if there is a h translation?

by setting the factor equal to 0 and solving for x. “opposite day inside the house”

what happens when a is negative

reflection over the x axis

what happens when a is greater than 1?

V stretch by a

what happens when a is less than 1?

v shrink by a

what is k?

vertical translation

what happens when k is positive?

v shift up k

what happens when k is negative?

v shift down k

what does vertex for look like?

y= a(x-h) squared +k

what is the vertex in vertex form?

(h,k)

what is standard form?

y= ax squared +bx+c

what is the y coord in standard?

(0,c)

what is intercept form?

y= a(x-p)(x-g)

how to you find the x coords in intercept form?

setting the numbers in the () to 0.