Consider the function: y = f(x) = x^2 + 2x - 35 a.) Give the ordered pair for th
ID: 3034193 • Letter: C
Question
Consider the function: y = f(x) = x^2 + 2x - 35 a.) Give the ordered pair for the y-intercept:___ b.) Give the ordered pair(s) for all x-intercepts:___(Write "NONE" if none exist) c.) Give the values for f (2) and f (-2): f(2) = ___ & f(-2) = ___ d.) Give all x-values that make the following statement true: f(x) = -20: ___ (Write "NONE" if none exist) e.) Give all x-values that make the following statement true: f(x) = -50: ___(Write "NONE" if none exist) f.) Use any technique to give the ordered pair for the vertex of the parabola: ___Explanation / Answer
f(x) = x^2 +2x -35
a) y intercept : f(0) = - 35
( 0, -35)
b) xintercept : f(x) =0
x^2 + 2x -35 =0 ; x^2 +7x -5x -35 0
x(X+7) -5(x+7) =0
(x-5)(x+7) =0
x = 5, x= -7
( 5, 0) and ( -7, 0)
c) f(2) = 2^2 +2*2 -35 = -23
f(-2) = (-2)^2 + 2*-2 -35 = - 35
d) f(x) = -20
-20 = x^2 +2x -35
x^2 +2x - 15 =0
x^2 +5x -3x -15 =0
(x+5)(x-3)=0
x= --5, 3