# Applied Mathematics: Finding x,y-intercepts and vertex of a quadratic function (Homework 3)

## Applied Mathematics: Finding x,y-intercepts and vertex of a quadratic function (Homework 3)

### Question 1

Suppose $y=3{ x }^{ 2 }+42x-150$. In each part below, if there is more than one correct answer, enter your answers as a comma separated list. If there are no correct answers, enter NONE.

• Find the vertex: (-7, -279)
• Find the y-intercepts: (0,-150)
• Find the x-intercepts: (-16.95, 0), (2.95, 0)

Link to graph: https://www.desmos.com/calculator/bo8a64boje

### Question 2

Given the function $y=3{ x }^{ 2 }+42x−150$. In each part below, if there is more than one correct answer, enter your answers as a comma separated list. If there are no correct answers, enter NONE.

• Find the vertex: (4.5, 36.75)
• Find the y-intercepts:  (0, -24)
• Find the x-intercepts: (1,0), (8,0)

Link to graph: https://www.desmos.com/calculator/ccvdthsazk

Question 3

$y={ x }^{ 2 }-25$

• Find the vertex: (0, -25)
• Find the y-intercepts: (0, -25)
• Find the x-intercepts: (-5, 0), (0, 25)

https://www.mathsisfun.com/algebra/quadratic-equation-graphing.html
https://www.mathsisfun.com/algebra/quadratic-equation-graph.html
https://www.desmos.com/calculator/pfdwlq5qht

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