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2 years ago

Graph the equation. Y=2x+3

Mathematics

2 answers:

luda_lava [24]2 years ago

7 0

Is this what you looking for??

Alisiya [41]2 years ago

3 0

Answer:

bro go to (0,3) and go up 2 and right 1 and place a dot and keep doing that till you cant anymore then go back to point (0,3) and go down 2 left 1 and place a dot and keep doing that till you cant any more then draw a line through the dots simple

Step-by-step explanation:

because 2x is the slope or 2/1x is the slope witch means you go to y intercept 3 or (0,3) and you do rise over run the slope 2/1 rise being 2 run being 1 see simple

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Which expression represents the volume of the pyramid? One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3 One-th

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A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?

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6 points

kodGreya [7K]

Answer:

$y=-2\,(x+3)^2-3$

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex $(x_v,y_v)$ in the expression:

$y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v$

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter $a$ :

$y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2$

So, now we can write the full expression for the parabola:

$y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3$

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2 years ago