Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Introduction to Parabolas  Concept
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
When graphing a quadratic equation, the resulting shape is not a straight line, but instead a shape called a parabola. Parabolas vary in direction and shape. The lowest or highest point in a parabola is called a vertex, which lies on the axis of symmetry. If the leading coefficient of the term to the second degree is positive, the parabola faces up. If it is negative, the parabola faces down.
The graph of y equals x squared is, as
you know, called a parabola, okay?
And, basically, what I'm going to do
now is just give you some language
that goes along with that.
The lowest point is called the vertex.
It could also be the highest point if
the parabola is facing the other
direction.
And there is also what's called the axis of symmetry,
which is basically an invisible line
that goes down the center of the
graph. So if you folded it over, it
would actually be symmetric about
that line, okay?
Depending on your teacher or whatnot, you are going
to have to do various levels of precision,
okay? Some teachers just
want to see a vertex in the general
shape. Other teachers want to
see specific points, sometimes three,
sometimes five. So what you
need to do is find a point here and
point here.
The cool thing about the axis of symmetry is if you find
a point on the right side of your
graph, you can always just transpose
it over to the other side. If
you are out two units and up, say, two
units, you know that then you are
out two and up two. If you are out
three and up five, you also know
that you are out three and up five
on the other side.
Using the axis of symmetry could be really helpful
in taking shortcuts in finding
points in order to plot your graph.
Basically the main association
we are going to talk about right now is
your vertex and your axis of symmetry.
Please enter your name.
Are you sure you want to delete this comment?
Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
i love you you are the best, ive spent 3 hours trying to understand probability and this is making sense now finally”
BRIGHTSTORM IS A REVOLUTION !!!”
because of you i ve got a 100/100 in my test thanks”
Get Peer Support on User Forum
Peer helping is a great way to learn. Join your peers to ask & answer questions and share ideas.
Concept (1)
Sample Problems (8)
Need help with a problem?
Watch expert teachers solve similar problems.

Introduction to Parabolas
Problem 1 8,831 viewsGraph the parabolas:
f(x) = (x − 1)²f(x) = 2x²f(x) = x²f(x) = (x + 3)²f(x) = ½x² 
Introduction to Parabolas
Problem 2 6,798 viewsGraph:
f(x) = 3(x + 2)² + 4 
Introduction to Parabolas
Problem 3 5,904 viewsa) Give any equation for a parabola with vertex (3,2)b) That also passes through (2,4) 
Introduction to Parabolas
Problem 4 5,499 viewsDetermine 'a' and 'k' so that (3,2) and (0,11) lie on y = a(x + 2)² + k

Introduction to Parabolas
Problem 5 282 views 
Introduction to Parabolas
Problem 6 329 views 
Introduction to Parabolas
Problem 7 295 views 
Introduction to Parabolas
Problem 8 273 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete