Functions & Graphs

CoreMaths revision

Quadratic Graphs

Read roots, vertex and symmetry from quadratic forms and connect algebra to the shape of a parabola.

Open calculator

Focus points

✓Find roots and intercepts.

✓Locate vertices and axes of symmetry.

✓Sketch from algebraic form.

orin

Orin

The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions

Question 1FluencyCore

Original practice · Free Online Revision

Skill · roots

For y=x²−5x+6, find the x-intercepts.

Question 2FluencyCore

Original practice · Free Online Revision

Skill · intercepts

Find the y-intercept of y=2x²−3x−5.

Question 3FluencyCore

Original practice · Free Online Revision

Skill · vertex form

Find the vertex of y=(x−4)²−7.

Question 4FluencyCore

Original practice · Free Online Revision

Skill · axis of symmetry

Find the axis of symmetry of y=x²+8x+3.

Question 5FluencyCore

Original practice · Free Online Revision

Skill · sketch features

Sketch y=−(x+2)²+9 by stating its vertex, opening direction and x-intercepts.

Question 6ApplicationCore

Original practice · Free Online Revision

Skill · quadratic application

A ball height is h(t)=−5t²+20t+1. When is its maximum height reached?

Question 7ReasoningCore

Original practice · Free Online Revision

Skill · graph reasoning

Two quadratics have the same roots 1 and 4. Must they be the same graph?

Question 8ChallengeStretch

Original practice · Free Online Revision

Skill · parameter graph

Find k if y=x²+kx+9 has vertex on the x-axis.