2. **Involves one variable with the highest power of 2
Example:
Quadratic
expression
Variable Highest power
of variable
𝑥2
+ 2𝑥 − 1
−𝑦2
+ 3𝑦
𝑚2
− 𝑚 + 4
2𝑛2
+ 5
3. Determine whether each of the following
expression is a quadratic expression in one variable.
Expression Variable Highest
power of
variable
Is it a
quadratic
expression?
3𝑦2
− 3𝑥 − 1
−𝑦3
+ 3𝑦
−
1
2
𝑚2
2𝑛2
+ 5
16. Indicate the shape of the graphs by putting either a smile on
the face, or an unhappy gesture if otherwise.
a) 𝑓 𝑥 = 𝑥2 + 𝑥 − 2
b) 𝑓 𝑥 = −𝑥2
+ 4𝑥 + 3
18. Determine the maximum or minimum point.
Draw and state the axis of symmetry.
1) Turning point
(Maximum point or
minimum point)
Coordinate of
turning point
Equation of axis of
symmetry
23. Self practice 1.1 c Textbook Page 14
1. The quadratic functions below pass through the
points stated. Calculate the value of c for each case.
(a)f(x) = 𝑥2
+ 7𝑥 + 𝑐, passes through point (0, 5).
(b)f(x) = 2𝑥2
− 7𝑥 + 𝑐, passes through point (2, –3).
(c)f(x) = −2𝑥2
+ 𝑥 + 𝑐 , y-intercept = 4.