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# Popular Questions - Precalculus

## How do you find vertical, horizontal and oblique asymptotes for ##(-2x^2-6x+3)/(3x+9)##?

Vertical asymptote: ##x=-3## Horizontal asymptote: none Oblique asymptote: ##y=-2x## How to find vertical asymptote: Set denominator to equal zero and solve for ##x## ##3x+9## ##rarr## ##3x=-9##...

## What is the formula for calculating constant percent change?

For the period from ##t_1## to ##t_2## for some state ##f(t)## with a constant percentage change, that constant percentage change is given by:...

## How do you graph ##x^2 + y^2 = 100##?

graph{y^2 + x^2 – 100 = 0 [-32.48, 32.44, -16.28, 16.2]} This is a circle whose center point is the orgin and whose radius is 10 (##sqrt(100)##). The formula for a circle is ##(x-h)^2 +...

## How do I convert the equation ##f(x)=x^2-2x-3## to vertex form?

##color(red)( f(x) = (x-1)^2-4)## The vertex form of a quadratic is given by ##y = a(x – h)^2 + k##, where (##h, k##) is the vertex. The “##a##” in the vertex form is the same...

## How do I find an inverse matrix on an Nspire?

First, make sure that your matrix is “square”. That means, it must be 2×2 or 3×3 or 4×4…. Then, press the Math Templates button (to the right of the number 9, and to...

## What is the end behavior of the square root function?

The square root function ##f(x)=sqrtx## has ##[0,+oo)## and the end behaviour is as ##x->0## , ##f(x)->0## as ##x->oo## , ##f(x)->oo## Note: “” of a function is referred to the behavior...