Quadratic Equations
Hong Kong
Stage 4 - Stage 5
Solve Quadratic Inequalities
Interactive practice questions
Consider the graph of $y=f\left(x\right)$y=f(x).
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a
Find the values of $x$x for which $f\left(x\right)=0$f(x)=0. Write both solutions on the same line separated by a comma.
b
For what values of $x$x is $f\left(x\right)<0$f(x)<0?
Give your answer as an inequality.
c
For what values of $x$x is $f\left(x\right)>0$f(x)>0?
Give your answer as an inequality.
d
What is the $x$x-coordinate of the vertex of $f\left(x\right)$f(x)?
Easy
3min
Consider the graph of $y=f\left(x\right)$y=f(x).
Easy
2min
The function $f\left(x\right)=5+4x-x^2$f(x)=5+4x−x2 has been graphed.
Use the graph to solve the inequality $5+4x-x^2>0$5+4x−x2>0.
Easy
1min
Consider the function $f\left(x\right)=x^2-4x-5$f(x)=x2−4x−5.
Easy
3min
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