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Salsk061 [2.6K]

3 years ago

15

Who’s the the y-value of the vertex of the function f(x)=-(x+8)(x-14)

1 answer:

Ksju [112]3 years ago

5 0

Answer:

The required y-value is -121.

Step-by-step explanation:

There are several ways in which we could approach this problem. From the two binomial factors (x + 8) and (x - 14), we know that the two roots are x = -8 and x = 14. The axis of symmetry is the vertical line x = 3. This value is halfway between x = -8 and x = 14.

Substituting x = 3 into f(x)= -(x+8)(x-14) results in f(3) = -(11)(-11) = -121.

The vertex is at (3, -121). The required y-value is -121.

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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

k = 4

Please refer to the graph attached.

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

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joja [24]

Answer:49/4

Step-by-step explanation:

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ehidna [41]

Answer:

The correct answer is option C.

The mid point of the line segment.

Step-by-step explanation:

the perpendicular line segment construction twice using paper folding

we have to find the mid point of the given line segment.

We get the midpoint easily when fold the paper correctly

Therefore the correct answer is option C.

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Sunny_sXe [5.5K]

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Divide 2 to both sides.

2/2:8/2

1:4

Therefore, the answer is 1:4

Best of Luck!

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Step-by-step explanation:

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