Question

Consider the functions: f(x) = x2 + 4x – 1 and g(x) = 2x + 5. See graphs alongside. a) Identify each curve b) Find the coordinates of points A, B,..., c) Confirm your calculations by using technology​

Answer 1

Explanation:

try the option shown in the attachment.

Finally,

`A(-2-√(3);0);`

`B(-1-√(7);3-2√(7));`

`C(-2+√(3);0);`

`D(-1+√(7);3+2√(7));`

`E(0;5);`

`F(-(5)/(2);0);`

`G(-2;-5).`

in order to calculate the points E & F it is needed to solve the equations y=2*0+5 and 2x+5=0;

in order to calculate the vertex G it is needed to find x-coordinate:

x=(-4)/(2*1)=-2 and to substitute x=-2 into y=x²+4x-1 (y=-5).