## 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

(i) \underline{p}

(ii) q

(iii) a

[3 markah / marks]

### Maths Quadratic Functions and Equations Solution

Hello!

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

f(x)=a(x-p)(x-q)

-12=a(x-2)(x-6)

-12=a(0-2)(0-6)

-12=a(-2)(-6)

-12=a(12)

a=(-12)/(12)

**a= -1**

**ANSWERS: p=2,q=6,a=-1**

Ohhhh I see, thank you so much!!

You are welcome