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2 years ago

Write the standard form for a parabola that has the following x intercepts: (-4, 0) and (7, 0).

Mathematics

1 answer:

Alja [10]2 years ago

8 0

Answer:

y = x² - 3x - 28

Step-by-step explanation:

given a parabola with x- intercepts x = a and x = b , then

(x - a) and (x - b) are the corresponding factors and the equation is the product of its factors

y = (x - a)(x - b)

here the x- intercepts are x = - 4 and x = 7 , then the factors are

(x - (- 4)) and (x - 7) , that is (x + 4) and (x - 7) , then

y = (x + 4)(x - 7) ← expand using FOIL , then

y = x² - 3x - 28 ← in standard form

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Plot the vertex and the axis of symmetry of this function on the provided graph.

tia_tia [17]

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

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2 years ago

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zubka84 [21]

Answer:

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Step-by-step explanation:

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3 years ago

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Georgia [21]

Email me micah.hills07g mailcom

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3 years ago

Simplify by dividing (3/5) divided by -4/9

Anton [14]

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3 years ago

Martin is covering his bathroom floor with square tiles. When he gets to the end of a row of tiles, he needs to cut the length o

kati45 [8]

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Here a tile is a square of side length 'x'. The following polynomial represents,

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