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Intermediate Algebra and Functions Videos 36 videos

TSI Math: Understanding Points of Intersection
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Two parabolas are graphed in the coordinate plane. Parabola A is a function, and parabola B is not a function. What is the maximum number of points...

TSI Math: Solving a Quadratic Equation for x
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What is x for the equation 2x² + 36 = -18x?

TSI Math: Finding a Line's x-Intercept Given a Point on that Line
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Which of the following points is a location where the function f(x) = -2x² + 12x + 54 crosses the horizontal axis?

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TSI Math: Recognizing the Axis of Symmetry in a Quadratic Equation 8 Views


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Description:

What is the axis of symmetry of the parabola given by the equation -3x² + 42x – y = 0?


Transcript

00:02

Okay sy mass Shmoop for what is the axis of

00:04

symmetry of the parabola given by the equation Negative three

00:08

x squared plus forty two x minus y equals zero

00:14

Okay well first things first let's Add why to both

00:17

sides to write the given equation in standard form right

00:20

y equals mx plus b So here it is y

00:23

equals negative three x squared plus forty two x What

00:26

when a quadratic equation is written in the form why

00:29

equals a x squared plus b x plus c the

00:32

access of symmetry by definition here is the line x

00:37

equals negative b over two a and like you just

00:40

had to know that formula The vertical line passes through

00:43

the vertex in the middle of the problem right there

00:47

So here b is forty two and a is well

00:52

negative three so we've got negative forty two overnegative six

00:56

there and that equals seven So thie axis of awesome

01:01

for the given parable of there is x equal seven

01:05

and that's it The answer is c

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