Consider the quadratic function

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

f(x)=kx^{2}-5x+1

, where

k

is a real constant. (a) If

f(2)=7

, determine the value of

k

. (b) Using the value of

k

obtained in part (i), calculate

f(0)

and

f(-3)

. (c) Evaluate

f\bigl(f(1)\bigr)

with the same value of

k

. Show each step of your working.