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Review parent functions Graph Functions by shifts Find domain, range, and intercepts. Day 5 Book Section 7.8. Ex. 1. Domain: Range:. Y= Absolute Value Parent Function. Ex. 2. Domain: Range:.
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Review parent functionsGraph Functionsby shiftsFind domain, range, and intercepts Day 5 Book Section 7.8
Ex. 1 Domain: Range: Y= Absolute Value Parent Function
Ex. 2 Domain: Range: y=x2 Quadratic Parent Function
Graph y = Ex. 3 Square Root Parent Function Domain: Range:
Ex. 4 Domain: Range: Y scale: count by twos y=x3 Cubic Parent Function
Ex. 5 Cube root Parent Function Domain: Range: Graph y =
Ex. 6 Shift using parent table and multiplying y values by 2 Domain: Range: Shift Left 2 and up 1 f(x) = Plot the parent function and shift each point:
Ex. 7 Domain: Range: Shift using parent table and multiplying y values by 2 f(x)= Left 6 and down 4 Plot the parent function and shift each point:
Ex. 8 y=(0-3)2 – 4 y=(-3)2 – 4 (3,-4) Shift coordinate: Domain: Range: y-intercept: x-intercept: y=5 (-∞,∞) 0=(x-3)2 – 4 [-4,∞) 4=(x-3)2 4=x2-6x+9 (0,5) 0=x2-6x+5 (5,0) 0=(x-5)(x-1) (1,0)
Ex. 9 Y= – 4 Y= – 4 (-4,-4) Shift coordinate: Domain: Range: y-intercept: x-intercept: y=4 (-∞,∞) 0= – 4 [-4,∞) 4 = 2x+8 = 4 or 2x+8 = -4 (0,4) x = -2 or x = -6 (-2,0) (-6,0)
Ex. 10 y=(0-2)3 + 1 y=(-2)3 + 1 (2,1) Shift coordinate: Domain: Range: y-intercept: x-intercept: y= -7 (-∞,∞) 0=(x-2)3 + 1 (-∞,∞) -1=(x-2)3 Take cube root of both sides (0,-7) -1 = x – 2 (1,0) x = 1
Ex. 11 (1,2) Shift coordinate: Domain: Range: y-intercept: x-intercept: (-∞,∞) (-∞,∞) (0,1) (-7,0)