Question

A) Graph y = 2(x − 5)2 − 8 by finding the vertex and x-intercepts. Explain your work.

b) Write the equation of a quadratic whose x-intercepts are
3/2 and 5.

c) Write the equation of a quadratic with a parent of y = 4x2 and a vertex of (−5, 7).

Answer 1

`a. \\1. \: y = 4(x - 5) - 8 \\ 2. \: y + 8 = 4(x - 5) \\ 3. \: (y + 8)/(4) = x - 5 \\ 4. \: (y + 8)/(4) + 5 = x \\ 5. \: x = (4 + 8)/(4) + 5 \\ \\ \\ b. \\ x ( - 3)/(2) 5 \\ x ( - 15)/(2) \\ \\ \\ c. \\ y = 4 {x}^(2) * ( - 5 + 7) \\ x = ( - y)/(280)`