Content
Access custom-built, exam-style problems for quadratics. Each problem has a full solution and mark-scheme, as well as AI grading and support.
Select a Difficulty:
15 / 58 problems visible - Upgrade to view all problems
!!
0 / 7
On the axes below, sketch the graph of y=−x2−x+6, clearly indicating any axes intercepts as well as any maxima or minima.
Powered by Desmos
!!
0 / 5
The equation x2+(k−5)x+5k=25 has two distinct real solutions.
Find the possible value(s) of k.
!
0 / 7
The function f is defined by f(x)=2x2+2x−24, for x∈R.
For the graph of y=f(x):
Write down the y-intercept.
Find the x-intercepts.
Find the coordinates of the vertex.
!
0 / 6
The following diagram shows part of the graph of g(x)=a(x−h)2+k.
Powered by Desmos
Write down the values of h and k.
The function g can also be expressed in the form g(x)=a(x−α)(x−β), where β>α.
Write down the values of α and β.
Find the value of a.
!
0 / 5
!
0 / 5
!
0 / 6
!
0 / 5
!
0 / 4
Ask Plex AI about problem 1
Get hints, ask questions, and work through this problem step by step