# 5 Questions on Graphing Quadratics and Inequalities

1. Find the intercepts of the graph of the equation

Y=x2-4

X2-9

The intercepts are______(type ordered pair,using intergers or fractions)

2. Analyze the graph of the function

R(x) =x+9

x(x+18)

a) What is the domain of R(x)?

b) What is the equation of the vertical asymptotes of R(x)? X=_____ (type integer or fraction)

c) Y=____

d) X=______

3. Solve the following inequality 5(x2-1) >-24x

The solution set is ______(type answer in interval notation)Use intergers or fractions for any numbers in the expression.

4. Find the zero for the following polynomial function and give the multipilicty for each zero. For each zero, state whether the graph crosses the x-axis or touches the x-axis and turns around.

F(x)=3(x+5)(x+8)2

a) What is the value of the zero with the smaller multiplicity? _______

5. Determine without graphing whether the given quadratic function has a maximum value or a minimum value and then find the value.

f(x)=-4x2-16x

The value is ____

https://brainmass.com/math/graphs-and-functions/questions-graphing-quadratics-inequalities-542965

#### Solution Preview

1. Find the intercepts of the graph of the equation

Y=x2-4

X2-9

The intercepts are___(-2,0) and (2,0)___(type ordered pair,using intergers or fractions)

Reason: let y=0, x=2 or x=-2

2. Analyze the graph of the function

R(x) =x+9

x(x+18)

a) What is the domain of R(x)? Domain is all real number except for x=0 or x=-18

Reason: x(x+18) can not be 0.

b) What is ...

#### Solution Summary

The solution gives detailed step on finding intercept, domain, asymptotes, inequality, zero and maximum value for various types of quadratic functions. All formula and calculations are shown and explained in details.