4. Functions and Relations
Middle Years
4.10 Discriminant and parabolas
Interactive practice questions
Consider a parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a>0$a>0
a
Which of the following statements is true?
The vertex of the parabola is a maximum point.
A
The vertex of the parabola is a minimum point.
B
b
Each parabola below has an equation of the form $y=ax^2+bx+c$y=ax2+bx+c.
Select all the graphs for which $a>0$a>0
Loading Graph...
A
Loading Graph...
B
Loading Graph...
C
Loading Graph...
D
Easy
< 1min
Consider the equation $4x^2+4x-6=0$4x2+4x−6=0.
Medium
1min
Consider the equation $4x^2-4x+1=0$4x2−4x+1=0.
Medium
1min
To find the $x$x-intercepts of a particular parabola, $ax^2+bx+c=0$ax2+bx+c=0, Katrina used the quadratic formula and found that $b^2-4ac=-5$b2−4ac=−5. How many $x$x-intercepts does the parabola have?
Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account