Lesson 17 31 Quadratic Fun x w C wwwwebassignnetweblStudentA

Lesson 17: 3.1 Quadratic Fun x w C www.webassign.net/weblStudent/Assignment Responses/last?dep 15673501 2. o -8 points SPreCalc7 3.1.015. A quadratic function f is given. (a) Express fin standard form. f(x) (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) vertex (x, y) (smaller x-value) x-intercepts (x, y) (larger x-value) (x, y) y-intercept (x, y) (c) sketch a graph of f.

Solution

f(x) = x^2 + 10x +24

In standard form : f(x) = (x^2 + 10x + 25 - 25) + 24

f(x) = (x +5)^2 -1

vertex : ( -5, -1)

x intercept : x = -1 -5 ; x= 1 -5 ; x= -6 , -4

y intercept : ( 0, 24)