MATH 1201 Unit 4 Challenge 3 Graphic Quadratic Equations and Inequalities All Answers- Pennsylvania State University

Unit 4, Challenge 3 : graphic Quadratic Equations and Inequalities



Introduction to Parabolas
Determine the vertex and direction of opening of the parabola for
the following quadratic equation:


c.)Correct.

When an equation is in the form , the value of
dictates whether the parabola will open up or down. If is a
positive value, the parabola will open upwards.



The vertex can be found by using the formula , which tells
us the value of the x-coordinate:



Plug this value in for x and find the value of the y-coordinate.




The vertex is at .


Determine the vertex and direction of opening of the parabola for
the following quadratic equation:

, a.)Correct.

When an equation is in the form , the value of
dictates whether the parabola will open up or down. If is a
negative value, the parabola will open downward.



The vertex can be found by using the formula , which tells
us the value of the x-coordinate:




Plug this value in for x and find the value of the y-coordinate.




The vertex is at at .


Determine the vertex and direction of opening of the parabola for
the following quadratic equation: