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2 years ago

Which is the graph of the function f(x) = 1/2x2 + 2x - 6?

2 answers:

8 0

Answer:i would need to see the graph but here is what i think you are talking about and it shows how to it popular- problems /Algebra/ 262080

Step-by-step explanation:

adelina 88 [10]2 years ago

8 0

Answer: man i wish i knew

Step-by-step explanation:

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What is the equation of a parabola with a directrix of y=2 and a focus point of 0,-2

KiRa [710]

Hope this helped. :)

Any point, (x0,y0)(x0,y0) on the parabola satisfies the definition of parabola, so there are two distances to calculate:

Distance between the point on the parabola to the focusDistance between the point on the parabola to the directrix

To find the equation of the parabola, equate these two expressions and solve for y0y0 .

Find the equation of the parabola in the example above.

Distance between the point (x0,y0)(x0,y0) and (a,b)(a,b) :

(x0−a)2+(y0−b)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√(x0−a)2+(y0−b)2

Distance between point (x0,y0)(x0,y0) and the line y=cy=c :

∣∣y0−c∣∣| y0−c |

(Here, the distance between the point and horizontal line is difference of their yy -coordinates.)

Equate the two expressions.

(x0−a)2+(y0−b)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=∣∣y0−c∣∣(x0−a)2+(y0−b)2=| y0−c |

Square both sides.

(x0−a)2+(y0−b)2=(y0−c)2(x0−a)2+(y0−b)2=(y0−c)2

Expand the expression in y0y0 on both sides and simplify.

(x0−a)2+b2−c2=2(b−c)y0(x0−a)2+b2−c2=2(b−c)y0

This equation in (x0,y0)(x0,y0) is true for all other values on the parabola and hence we can rewrite with (x,y)(x,y) .

Therefore, the equation of the parabola with focus (a,b)(a,b) and directrix y=cy=c is

(x−a)2+b2−c2=2(b−c)y

3 0

3 years ago

Complete the square to put () in vertex form. () = 3 2 + 30 − 12. What is the vertex?

gulaghasi [49]

Answer:

A and A

the equation of a parabola in vertex form is

y = a(x - h)² + k

where ( h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x + 3)² + 2 is in this form

with vertex = ( - 3, 2)

To find the y-intercept let x = 0

y = - 2(3)² + 2 = - 18 + 2 = - 16

Similarly

y = - 2(x + 2)² + 2 is in vertex form

vertex = ( - 2 , 2)

x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept

hope this helped

8 0

3 years ago

A rectangle has a height of 777 and a width of 2x^2-32x

Murljashka [212]

<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write clear questions in order to get good and exact answers. Here I'll assume the data given in a comment above. So:

$H:height \\ \\ W:Width \\ \\ \\ H=7 \\ \\ W= 2x^2-32x+2$

We know that the area (A) of any rectangle is given by:

$A=H\times W \\ \\ A=7(2x^2-32x+2) \\ \\ \\ Expanding: \\ \\ A=(7)(2x^2)-(7)(32x)+(7)(2) \\ \\ \boxed{A=14x^2-224x+14}$

8 0

3 years ago

The area of a square garden is 50 m². How long is the diagonal?

yan [13]

D=10 m is the answer.......

3 0

3 years ago

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A cyclist rode a distance of 38 miles in 4 hours. Find the speed of the cyclist.

Simora [160]

Answer:

9.5

Step-by-step explanation:

Since he did 38 miles in 4 hours, we need to divide it by 4 to find mph. 38/4 = 9.5

therefore, his speed his 9.5 mph

I hope this helped, and if my answer was right, please mark this answer as brainliest! Thank you!

3 0

3 years ago

Read 2 more answers