Using pencil or pen handPRINT all the requested answers as s

Using pencil or pen, hand-PRINT all the requested answers as specified by the questions. 1.) Find the quadratic function f in standard form whose graph has its vertex at (-3, 2) and passes through the point (2, 1). On the left column, write every Algebra step required to find this equation. On the right column, hand print in words a detailed and wel-written paragraph explaining what and why you are doing each Algebra step. Part 1 b) Part 1.a) Written Communication Print a paragraph that Visual Communication explains each step using complete sentences and tailed ebra Stee correct grammar. 2.) Given any quadratic function f If we let fox)-0 and the solutions to the resulting quadratic equation are not real numbers, write a complete sentence explaining what that result tells you about the x-intercepts of the graph of the function

Solution

vertex ( -3,2 )

passes through ( 2 , 1 )

standard equation in vertex form is given by

y = a(x-h)^2 + k

where h , k is the vertex

plugging the values in the equation

1 = a ( 2+3)^2 + 2

1 = 25a + 2

subtracting 2 from both sides

1 - 2 = 25 a

-1 = 25 a

a = -1/25

hence, equation would be

y = -1/25 ( x+3)^2 + 2

or

f(x) = -1/25 ( x^2 + 6x + 9 ) + 2

f = (-1/25) x^2 - 6/25 x + 41/25