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TSI Math: Recognizing the Axis of Symmetry in a Quadratic Equation 8 Views
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What is the axis of symmetry of the parabola given by the equation -3x² + 42x – y = 0?
What is the axis of symmetry of the parabola given by the equation -3x² + 42x – y = 0?
- Test Prep / TSI
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- TSI / TSI Math
- TSI / TSI Mathematics
- TSI Mathematics / Intermediate Algebra and Functions
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
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
Full Transcript
- 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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