Maths Quadratic Functions and Equations Question
The diagram below shows part of the graph of the quadratic function f(x)=a(x-p)(x-q) where p<q. Point R is the maximum point of the graph of the quadratic function.
a) Hitung nilai Calculate the value of
[3 markah / marks]
Quadratic equation can be written in three different forms: standard, factored and vertex.
f(x)=a(x-p)(x-q) is the factored form, where p and q represent the roots of the equation.
The roots of a quadratic equation are the x-intercepts of the graph.
So we know that p and q are the roots of the equation where p is smaller than q (p<q )
Thus, p = 2 and q= 6
To find the value of a we can substitute the values of p and q into the equation and also the coordinate of y- intercept, which is (0, -12)
Where, x=0 and f(x) = -12
Ohhhh I see, thank you so much!!
You are welcome