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snow_lady [41]
3 years ago
12

How do you find the equation of the axis of symmetry on a quadratic graph

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

It is the line of symmetry of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of symmetry.


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Which number is rational?
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Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr
Arte-miy333 [17]

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

y = 3x - 2.

10(x + \frac{3}{5} ) = 2y

A. y = 5x + \frac{3}{10}

B. y = 5x + 3

C. y = \frac{1}{5} x + \frac{3}{25}

D. y = \frac{1}{2} x + 6

Answer:

B. y = 5x + 3

Step-by-step explanation:

Given

Equation 1: y = 3x - 2.

Equation 2: 10(x + \frac{3}{5} ) = 2y

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

10(x + \frac{3}{5} ) = 2y

Open the bracket

10*x + 10 *\frac{3}{5} = 2y

10x + \frac{30}{5} = 2y

Simplify fraction

10x + 6 = 2y

Divide through by 2

\frac{10x}{2}  + \frac{6}{2} = \frac{2y}{2}

5x + 3 = y

Re-arrange

y = 5x + 3

The next step is to compare each of option A through D with y = 5x + 3

A.

y = 5x + \frac{3}{10} is not equal to y = 5x + 3

We check the next available option

B.

y = 5x + 3 is equal to y = 5x + 3

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

C.

y = \frac{1}{5} x + \frac{3}{25}

Convert fraction to decimal

y = 0.2x + 0.12

This is not equal to y = 5x + 3

D.

y = \frac{1}{2} x + 6

Convert fraction to decimal

y = 0.5x + 6

This is not equal to y = 5x + 3

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

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Answer:

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