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Alona [7]
3 years ago
8

Help me with this problem !!!!!!!!!!

Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0

Answer:

Hi, your answer is y=-\frac{1}{2} x-3

Step-by-step explanation:

We will use the slope-intercept formula which is

\frac{y2-y1}{x2-x1}

We will use two points in this case I'll use

(-2,-2) and (-8,1)

\frac{1-(-2)}{-8-(-2)}=-\frac{3}{6} which can be simplified as -\frac{1}{2}

Your Y will be -3

which your final answer will be y=-1/2x-3

Hope this helps :)

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Which equation represents a linear function? A) y = |x| B) y = x2 C) y = -3x3 D) y = 1 4 x
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D is the answer
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Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?
densk [106]

Answer:

A.\ y = x^2 - 6x + 13 is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

y = a(x-h)^2+k

where (h,k) is the vertex of the parabola and

(x,y) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of x^{2} is positive.

Let a = +1

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\therefore h = 3

Putting value of a and h in the equation:

y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k

Formula used: (a-b)^2=a^{2} +b^{2} -2\times a \times b

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing y = x^2 - 6x + 13 and y = x^2-6x+9+k

13 = 9+k

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Please refer to the graph attached.

Hence, correct option is A.\ y = x^2 - 6x + 13

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44
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