62 138 8 2 sketch the graph of each function identify

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Unformatted text preview: ate the graph to the left. p • Apply the transformation due to q. If q > 0 translate the graph up. If q < 0 translate the graph down. x Unit 1 – Day 5: Combining Transformations Page 3 of 3 exercise: Apply the transformations to the basic parabola to graph y = − 1 (x − 3)2 + 6 . 2 y 5 −5 0 5 x −5 exercise: The point (2,4) is on the graph of y = x2 . Where will this point end up as the basic parabola transforms into the graph of y = − 1 (x − 3)2 + 6 ? 2 exercise: Write the equation of the parabola shown. y 5 −5 0 5 −5 exercise: Determine the equation of the parabola with axis of symmetry x = −4, range y ≥ −9, and y-intercept −7. x PRE-CALCULUS 11 Unit 1 – Day 5: Combining Transformations Exercises 1. Describe how to sketch the graph of each function using transformations. a) f(x) = (x + 5)2 + 11 b) f(x) = −3x2 − 10 c) f(x) = 5(x + 20)2 − 21 d) f(x) = − 1 (x − 5.6)2 + 13.8 8 2. Sketch the graph of each function. Identify the vertex, the axis of symmetry, the direction of opening, the maximum or minimum value, the domain and range, and any intercepts. a) y = −(x − 3)2 + 9 b) y = 1 (x + 4)2 +...
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