Day 3 examples b u1f13
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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 the point on the graph of y=g(x) are (-3,5), so the coordinates of the point on the graph of y=g(-x) are (3,5). 3) To write the equation of a function f(x) that is shifted down 4 units and compressed vertically by a factor of 2, the equation would be y = 1/2f(x) - 4.
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Day 3 examples b u1f13
- 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 = g(-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/ compress vertically stretch/ compress horizontally horizontal y = 3f 1/2(x - 4) - 5 in words
- 3. m(x) = 1/2 T(-x) - 3 b) f(x) = -j(1/3x + 1)