Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f(x)= 5x²-3.
g(x)= 5x²+3

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

Function f(x)

----> equation A

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

The vertex is the point (0,-3)

The y-intercept is the point (0,-3) [value of y when the value of x is equal to zero]

The x-intercepts are the points

and  

Function g(x)

----> equation B

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

The vertex is the point (0,3)

The y-intercept is the point (0,3) [value of y when the value of x is equal to zero]

The function don't have x-intercepts (the roots are complex numbers)

We can say that the function g(x)  is the translation of the function f(x) 6 units up

using a graphing tool

The graph in the attached figure

-3.396 = -3.4

-0.708 = -0.7

0.304 = 0.3

0.955 = 1

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d