I Need Help With My Algebra 2 HW

P.S I don't need an answer right away I know it's a lot so just take your time.

Q1

MODELING REAL LIFE The table shows the numbers of posts on a social media account and the numbers of months since opening the account. Months,x 1 2 4 6 9 Numberof 19 52 97 156 234 posts,y Do the data show a linear relationship? O Yes O No Identify the equation of a line of t. O y=16.6x6 O The data do not show a linear relationship. Estimate the number of posts on the account after 1 year. O 300 O 31 3 O 320 Not possible C) MODELING REAL LIFE Youjump off a diving board into a pool. You reach a maximum height of 25 feet after traveiing 1 foot horizontaiiy, and hit the water 6 teet from the diving board. The path of your dive can be modeied by a parabola, where y is the height (in feet) and x is the horizontal distance traveied (in feet). What is the height of the diving board? The height ofthe diving board is D feet. Identify the graph of Mac) = x2 + 2x 1 . Then identify the vertex and axis of symmetry. The vertex is ( D, D ). The axis of symmetry is D. Describe the transformation of f(\\') = x2 represented by g(.\\') = (x + 2F . The graph of g is a translation 2 units of the graph off . Identify the graph of each function. ..... \"j\": "4 if: . .. :. \\.. 2 lg;- O O 4 ..... r . O O ,4 74 \fIdentify the graph of the function g{.\\'} : 3 (x + 2 } {x 4} . Label the xintercept(s), vertex. and axis of symmetry. REASONING A parabola passes through the points ( l. 4) and {4. 4) . Find the axis of symmetry. Fm Describe the transformation of f(x) =x? represented by g(.x) = (x 9 )2 + o . The graph of g is a translation 9 units and 5 units of the graph off . Identify the graph of each function. Describe the transformation of f (x ) =x2 represented by g(x) = _x2. The graph of g is a of the graph of f Identify the graph of each function. -4 2 9 O -4 4 O *-4 -2 2 4 x -2 -2 -4 -4 YA 4 -2 2 f O 1-4 -2 2 4 X O -4 -2 2 4 * Y F2 -2 -4 -4Identify the graph of p(x) = -2x2 - 8x + 1 . Then identify the vertex and axis of symmetry. 8 4 4 O O -8 -A 4 8 x 8 -4 8 x -4 -8 8 4 O O -8 -4 4 8 x -8 -4 4 8 x -4 -4 -8 The vertex is (). The axis of symmetry is.Describe the transformation of f (x ) =x2 represented by g(x ) = 3x2. The graph of g is a v of the graph of f . Identify the graph of each function. 2 O O -4 -2 -2 -4 by A 4 2 12 If O O -4 -2 2 -4 -2 2 4 +2 2 9 -4 -4\fDescribe the transformation of f (x ) =x2 represented by g(x ) = -x2. v of the graph of f The graph of g is a Identify the graph of each function. Ay 2 if O -4 -2 2 4 2 if -2 O 4 4 2 2 -2 g y 2 O -4 -2 2 4 x f -2 O -4 -2 2 4 X -2\fSolve the inequality. 1-5y - 25/ 275 O y > 10 O no solution O y 10 O all real numbersDescribe the transformation of f (x ) = x2 represented by g(x) = (x+6)2 - 2. The graph of g is a translation 6 units v and 2 units of the graph of f . Identify the graph of each function. Ay 4 f 19 O 8 -4 4 8 x O -8 4 4 8 x -4 -4 -8 Ly Ly f 9 O -4 O 4 8 x -8 -4 4 8 x -4 A gDescribe the transformation of f (x ) = x2 represented by g(x ) = (2x)2. The graph of g is a v of the graph of f . Identify the graph of each function. f if g O O A 2 4 x -2 2 4 x -2 -4 -2 Ay 4 2 f g O O -4 4 x 4 x -2 2 -4 1-2 2 -2 -2 -4REASONING The table shows the number of tiles in each figure. Verify that the data show a quadratic relationship. Predict the number of tiles in the 12th figure. Figure 1 Figure 2 Figure 3 Figure 4 Figure 1 2 3 4 Number of Tiles 1 5 11 19 There are tiles in the 12th figure.The graph represents a quadratic function. Write an equation of the function in standard form. y 6 4- (4, 4) 2 (3, 0) (8, 0) 2 4 6 XSolve the inequality. It + 10| -46 0 -46