Question

6. Match the following equations to the graph that represents it. [4 Points] Equation A: y = x2 + 2 Equation B: y = -x + 2 Equation C: y = (x - 2)2 Equation D: y = 2x2 y 37 Y 3 -3 3 X -3 LL 3 3 x -11 Equation: Equation: Equation: Equation: 7. Let f(x) = Vx. Write the equation for the resulting function when the following transformations are performed in order) onf (x): [3 Points] 1) Vertically Stretched by a factor of 2 2) Reflected across the y-axis 3) Shifted down 5 units f(x) = 8. Graph the following function on the coordinate grid below f(x) = 3x+2. Label at least 3 key points on the graph. [5 Points] 6 4 2 → 2 -2

Answer 1

classmate Graph of y=x² is xo 4 41 Date Page ज TE -2-1 0 1 2 Equiry 13 Graph I Graph [cly = (x-2) 2 u By = -x²+2 (horizontal shift of 2 unirs (reflection about right ward.) yaxs and shiftup Graph tu : Keby =282 2 units) evertically stretched by a factor of 2. Graph IV (A.y = x²+2 Shift up zunits) Poxertically stretched by a facts of 2: fra 2 f(x) 2 Reflect across the yaxis : 2 f(x) 2f-x) shift down 5 units 2f (-2) 2f6x) - 5 +000= a; 2 f(-2) -5= 25-x-5 Hence fro) = 2 v60) -5 po 2170-5 970,9) -2+2 o 2--2, f(-2) = 3 = 3 = 1 -4122 X=-44 f(-4)=3 -3 73011 6 X=-34fE5)-345344-0.33 x=-11 -1 =3+2 303 x=0,f(0)=3=3=9 6113) X-), ACI)=3*2-33-27 (4,0:11) x 1-4 1-3 1-21-110 froyo.11/0.33 1/319/27 -4 3-2-10 8 f) - gut2 312 32 0+2 2 2 4 x