Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs. f (x) = 8 x squared + 2. h (x) = negative 8 x squared minus 2
a.
f opens upward with a y-intercept at (2, 0); h opens downward with a y-intercept at (-2, 0)
b.
f opens downward with a y-intercept at (0, -2); h opens upward with a y-intercept at (0, 2)
c.
f opens downward with a y-intercept at (0, 2); h opens upward with a y-intercept at (0, -2)
d.
f opens upward with a y-intercept at (0, 2); h opens downward with a y-intercept at (0, -2)

stethere all not eveanp-by-step explanation:

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).