1. The x-intercept of the function y=f(x) is 5, so the x-intercept of y=f(x)^2 is also 5. 2. The coordinates of a point on the graph of y=g(x) are (-3,5), so the coordinates of a point on the graph of y=h(-x) are (3,5). 3. The equation y=-f(x-4) describes a function that is shifted down 4 units and compressed vertically by a factor of 2 compared to the original function f(x).

1. Mental Math
1. The x-intercept of y=f(x) is 5. State the x-intercept of y = f( x )
2
2. The coordinates of a point on the graph of y = g(x) are (-3, 5)
What are the coordinates of a point on the graph y = h(-x)?
3. Write the equation of f(x) if it is shifted down 4 spaces and
compressed vertically by a factor of 2.
4. Describe the transformation in words: y = -f(x - 4)
5. The range of h(x) is -4<y<1. If the graph is shifted 3 units to
the right. What is the range of h(x)?

2. y = f(x) ----> h(x) = af b(x - c) + d
(x, y) ----> (x + c, ay + d)
af b(x - c) + d
vertical
stretch/ horizontal
compress stretch/
vertically compress
horizontally
y = 3f 1/2(x - 4) - 5 in words

3. m(x) = 1/2 T(-x) - 3
b) f(x) = -j(1/3x + 1)