anonymous
  • anonymous
Help I am trying to study for a test.... given the following function f(x)=2x^2-4x-5\ 1) determine the vertex 2) list the axis of symmetry 3) calculate the y-intercept 4) use the axis of symmetry and the y-intercept to find an additional point on the graph
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Mertsj
  • Mertsj
Do you know that it's a parabola?
anonymous
  • anonymous
No that is all the study paper give us was this ? exactly like it is
Mertsj
  • Mertsj
What have you been studying in your class?

Looking for something else?

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

More answers

anonymous
  • anonymous
This is the start of the class and we are having to take a pretest
anonymous
  • anonymous
it is college algebra or precalculus
Mertsj
  • Mertsj
well then your teacher is trying to find out what you know so just do the best you can.
anonymous
  • anonymous
well out textbook does not really give a good explanation of anything
Mertsj
  • Mertsj
So do you want to work through this problem?
anonymous
  • anonymous
i would appreciate any help i can get
Mertsj
  • Mertsj
This is the equation of a parabola. The x coordinate of the vertex can be found using the formula x = -b/2a
Mertsj
  • Mertsj
which in this case is 4/4 or 1
Mertsj
  • Mertsj
Now you can find the y coordinate of the vertex by replacing x with 1 and finding f(x)
Mertsj
  • Mertsj
f(1)=-7 So the vertex is (1,-7)
anonymous
  • anonymous
so how do u come up with the 7
Mertsj
  • Mertsj
The axis of symmetry is the vertical line through the vertex so it is x = 1
Mertsj
  • Mertsj
Did you replace x with 1 in your equation?
anonymous
  • anonymous
o no
Mertsj
  • Mertsj
\[f(x)=2(1)^2-4(1)-5=2-4-5=2-9=-7\]
Mertsj
  • Mertsj
Are you reading what I write?
Mertsj
  • Mertsj
Now you can find the y coordinate of the vertex by replacing x with 1 and finding f(x)
anonymous
  • anonymous
yes I am
Mertsj
  • Mertsj
So now we are ready for 3 which is calculate the y intercept. We can find the y intercept by letting x = 0. So replace x with 0
Mertsj
  • Mertsj
Did you get -5? So the y intercept is (0,-5)
anonymous
  • anonymous
just a sec
Mertsj
  • Mertsj
one second granted
anonymous
  • anonymous
ok 0 cancels so i end up with -5
Mertsj
  • Mertsj
Yep
Mertsj
  • Mertsj
Now we're ready for the last part. And for that we need to put the info we have on a graph.
Mertsj
  • Mertsj
|dw:1328758359627:dw|
Mertsj
  • Mertsj
The axis of symmetry helps us find another point because for every point to the left of the axis, there is a corresponding point to the right.
Mertsj
  • Mertsj
So if we start at the y intercept and go 1 unit to the right, we come to the aos. If we go one more unit to the right, there will be another point.
Mertsj
  • Mertsj
|dw:1328758665785:dw|
Mertsj
  • Mertsj
So another point on the graph is (2,-5)
anonymous
  • anonymous
so unless it is stated you either move to the left or right 1 point
Mertsj
  • Mertsj
You move however many units it takes to get to the axis of symmetry.
anonymous
  • anonymous
o ok...thank u for ur help
Mertsj
  • Mertsj
yw

Looking for something else?

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