Day 5 Book Section 7 8 Review parent

Day 5 Book Section 7. 8 Review parent functions Graph Functions by shifts Find domain, range, and intercepts Get 2 grids for the 2 shift problems!

Ex. 1 x y -2 2 -1 1 0 0 1 1 2 2 Domain: Range: Y= Absolute Value Parent Function

Ex. 2 Domain: y=x 2 Range: Quadratic Parent Function x y -2 4 -1 1 0 0 1 1 2 4

Ex. 3 Square Root Parent Function Graph y = x y 0 0 1 1 4 2 9 3 16 4 Domain: Range:

Ex. 4 Y scale: count by twos Domain: Range: y=x 3 Cubic Parent Function x y -2 -8 -1 -1 0 0 1 1 2 8

Ex. 5 Cube root Parent Function Graph y = Domain: Range: x y -8 -2 -1 -1 0 0 1 1 8 2

Ex. 6 f(x) = Shift Left 2 and up 1 Plot the parent function and shift each point: x y 0 0 1 1 4 2 9 3 16 4 Domain: Range: Shift using parent table and multiplying y values by 2

Ex. 7 f(x)= Left 6 and down 4 Plot the parent function and shift each point: x y -8 -2 -1 -1 0 0 1 1 8 2 Domain: Range: Shift using parent table and multiplying y values by 2

Ex. 8 Shift coordinate: Domain: Range: (-∞, ∞) [-4, ∞) y-intercept: (0, 5) x-intercept: (5, 0) (1, 0) (3, -4) y=(0 -3)2 – 4 y=(-3)2 – 4 y=5 0=(x-3)2 – 4 4=(x-3)2 4=x 2 -6 x+9 0=x 2 -6 x+5 0=(x-5)(x-1)

Ex. 9 Y= Shift coordinate: Domain: Range: (-4, -4) (-∞, ∞) [-4, ∞) y-intercept: (0, 4) x-intercept: (-2, 0) (-6, 0) Y= 0= – 4 y=4 – 4 4= 2 x+8 = 4 or 2 x+8 = -4 x = -2 or x = -6

Ex. 10 Shift coordinate: Domain: Range: (2, 1) (-∞, ∞) y-intercept: (0, -7) x-intercept: (1, 0) y=(0 -2)3 + 1 y=(-2)3 + 1 y= -7 0=(x-2)3 + 1 -1=(x-2)3 Take cube root of both sides -1 = x – 2 x=1

Ex. 11 Shift coordinate: Domain: Range: (1, 2) (-∞, ∞) y-intercept: (0, 1) x-intercept: (-7, 0)