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1 year ago

The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has

Mathematics

1 answer:

mariarad [96]1 year ago

6 0

Answer:F(x)=-x2-3

Step-by-step explanation:We are given a function:

The graph of is also shown in the given question figure.

It is a parabola with vertex at (0,0).

Sign of is positive, that is why the parabola opens up.

General equation of parabola is given as:

Here, in G(x), a = 1

Vertex (h,k) is (0,0).

As seen from the question figure,

The graph of F(x) opens down that is why it will have:

Sign of as negative. i.e.

And vertex is at (0,-3)

Putting the values of a and vertex coordinates,

Hence, the equation of parabola will become:

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gavmur [86]

Answer:

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2 years ago

Round 30,944 to the nearest ten thousand

Arte-miy333 [17]

Actually none of the answers is correct - it's neither 30,900 nor 40,000.

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2 years ago

Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)

Brrunno [24]

Answer:

$- 3(x + 4) {}^{2} - 4$

Step-by-step explanation:

Vertex form is

$a(x - h) {}^{2} + k = f(x)$

We know that h and k are both -4. Let x be -2 and y be -16.

$a( - 2 + 4) {}^{2} - 4 = - 16$

$a(2) {}^{2} - 4 = - 16$

$4a - 4 = - 16$

$4a = - 12$

$a = - 3$

So the equation in vertex form is

$- 3(x + 4) {}^{2} - 4$

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2 years ago

Vincent propses an idea to the student government to install a basket hoop along with a court marked with all the shooting lines

sladkih [1.3K]

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

My answer:

Scale Drawing Lengths: . . / .

Actual Court Lengths . . .

Scale Factor: inch corresponds to ( ∙ ) inches, or inches, so the scale factor is .

Let = , represent the scale drawing lengths in inches, and represent the actual court lengths in inches. The -values must be converted from feet to inches.

To find actual length:

= =

() = inches, or feet

To find actual width:

= = ( )

= / ∙ /

= inches, or feet

The actual court measures feet by feet. Yes, the lot is big enough for the court Vincent planned. The court will take up the entire width of the lot.