Let (f(x)=3x^ 2 -8x+4 )

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

f(x)=3x^{2}-8x+4

. Answer the following: (a) Calculate the discriminant of

f(x)

. (b) Using the result obtained in (i), state the number of

x

-intercepts of the graph of

y=f(x)

and mention whether the graph cuts or merely touches the

x

-axis. (c) Find the exact coordinates of all

x

-intercepts of the graph of

y=f(x)

. (d) Sketch a rough graph of

y=f(x)

, showing the direction of opening and clearly marking the intercepts found in (iii). (Scale is not required.)