Graph Of Quadratic Equation Practice 1
This section includes 3 focused practice questions to help students practise plotting quadratic graphs accurately on graph paper. Students will also apply their understanding to solve questions related to quadratic equations and their graphs.
Related Lessons:
Practice 1 - Question 1
The variables \(x\) and \(y\) are connected by the equation \(y=16-x-2x^2\). The table above shows some values of \(x\) and their corresponding values of \(y\).
- Find the values of p and q.
- Using a scale of 2cm to represent 1 unit, draw a horizontal x -axis for \(-3\le x\le2.5\). Using a scale of 1cm to represent 1 unit, draw a vertical y -axis for \(0\le y\le16\). On your axes, plot the points in the table and join them with a smooth curve.
- Use your graph to find the value of y when \(x=-1.5\).
- By drawing a tangent, find the gradient of the curve at \(\left(-1,\ 15\right)\).
- Use your graph to find the maximum value of y and the corresponding value of \(x\) for which this occurs.
- By drawing a suitable straight line on the same axis, use your graph to find the solutions of the equation \(11-2x^2=0\)
Practice 1 - Question 2
The diagram shows the graph of a quadratic equation \(y=ax^2+bx+c\). Using the graph,
- Write down the coordinates of the x-intercept of the graph
- Write down the equation of the line of symmetry of the graph
- State whether the coefficient a is a positive or negative value
Practice 1 - Question 3
The diagram shows the graph of \(y=x^2+3x-10\). Points A, B and C lie on the curve. Find
- The coordinates of A, B and C
- The equation of the line of symmetry
- The coordinates of the minimum point