Write the equation of a line perpendicular to 3x + 4y = 9 that passes through (8, - 4)

keeping in mind that perpendicular lines have negative reciprocal slopes, let's find the slope of 3x + 4y = 9, by simply putting it in slope-intercept form.

so we're really looking for the equation of a line whose slope is 4/3 and runs through 8, -4.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1