A translate up 7 units 2 a y b translate down 7 units

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Unformatted text preview: sses through (−3,−9) b) when the graph of y = x2 is translated horizontally and now passes through (0,9) Unit 1 − Day 4: Graphing y = x2 + q and y = (x − p)2 Exercises (continued) PRE-CALCULUS 11 6. Sketch each set of parabolas on the same grid. Label each graph with its equation. a) y = x2 y = (x − 3)2 y = (x − 3)2 + 2 b) y = x2 y = x2 − 3 y = (x + 2)2 − 3 7. Find the equation of the parabola that is congruent to the graph of y = x2 and opens upward with vertex: b) (−13,−11) a) (7,9) c) (1 , 2) 33 d) (9 ,− 9) 47 8. Find the equation of the parabola congruent to the graph of y = x2 : a) with axis of symmetry x = 8 and having range {y| y > 10, y ∈ } b) that opens upward and has x-intercepts −6 and 0 c) that has y-intercept 0 and range {y| y > −25, y ∈ } ANSWERS 1. a) translate up 7 units 2. a) y b) translate down 7 units b) y c) translate left 7 units c) y d) translate right 7 units d) y 4 4 4 2 2 2 6 4 −2 2 0 2 −2 x −2 −2 0 2 0 2 x 0 −2 2 4 x −2 x 3. a) y = x2 − 5 b) y = x2 + 25 c) y = ( x − 1 ) 2 d) y = (x + 8)2 4. a) y = x2 − 9 b) y = (x − 16)2 3 c) y = x − 7 ( d) y = x2 + 5 5. a) y = x2 − 18 b) y = (x ± 3)2 7. a) y = (x − 7) + 9 b) y = (x + 13) − 11 2 ( c) y = x −...
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This document was uploaded on 02/16/2014 for the course MATH Pre-Calcul at Holy Cross Regional High School.

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