anonymous
  • anonymous
how do I know when a parabola is or isn't a function?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Zale101
  • Zale101
By the vertical test, you can determine which functions are and not a function.
anonymous
  • anonymous
and a vertical test is when...?
Zale101
  • Zale101
The vertical line test determines if the graph passes vertical lines only 1, but not twice. For example, if we have a parabola. |dw:1441659261950:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Zale101
  • Zale101
The y values gets to be passed once when doing the vertical line test (refer to the bold dots)
anonymous
  • anonymous
the parabola must open up or down. it cannot be rotated on any direction
Zale101
  • Zale101
But if we have a side ways parabola. |dw:1441659344699:dw|
Zale101
  • Zale101
The function does not pass the vertical line test because 2 y values are touched by the same x value.
Zale101
  • Zale101
Therefore, the sideways parabola is not a function.
Zale101
  • Zale101
Makes sense?
amistre64
  • amistre64
a parabola is always a function .... its equation is not necessarily based on a coordinant axial system
amistre64
  • amistre64
x = 4y^2 is a parabolic function. |dw:1441660077511:dw|
Zale101
  • Zale101
The graph of x=4y^2 is sideways parabola but narrower. No?
amistre64
  • amistre64
no, you see that I have drawn the y axis as the horizontal, and the x axis is vertical ... making y independant, and x dependant. 'sideways' is not relevant ... all parabolas can be oriented to open upward or downward
amistre64
  • amistre64
|dw:1441662415252:dw| move the vertex to the origin, and rotate the 'graph'
amistre64
  • amistre64
im sure the question did not have this in mind ... but still
Zale101
  • Zale101
Oh yes, i noticed the change of the axis xD

Looking for something else?

Not the answer you are looking for? Search for more explanations.