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

Step-by-step explanation:

try the option shown in the attachment.

Finally,

$A(-2-\sqrt{3};0);$

$B(-1-\sqrt{7};3-2\sqrt{7});$

$C(-2+\sqrt{3};0);$

$D(-1+\sqrt{7};3+2\sqrt{7});$

$E(0;5);$

$F(-\frac{5}{2};0);$

$G(-2;-5).$

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).