From x- intercepts it was possible to find the formula of the parabola: x²-1.69=0.
Quadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
From the sum and product of the roots in a quadratic function it is possible to write your respective equation. Since:
- S= sum of the roots (x1+x2) = [tex]-\frac{b}{a}[/tex]
- P= product of the roots (x1*x2)= [tex]\frac{c}{a}[/tex]
This question gives the root since it informs the x- intercepts (1.3,0) and (-1.3,0). Then, the roots are: x1=1.3 and x2= -1.3.
Hence, you should write the equation in factors from the known roots. See: (x-1.3) * (x+1.3)=0. Multiplying the factor, you will have:
x²+1.3x-1.3x-1.69=0
x²-1.69=0
You can check the previous result from :
the sum of the roots (S) will be 1.3-1.3=0.
the product of the roots (P) will be 1.3*(-1.3)=-1.69.
So, the formula of the parabola is x²-1.69=0. The attached figure shows the x-intercepts and y-intercept informed.
Read more about a quadratic function here:
https://brainly.com/question/1497716
