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2 years ago

Write the equation for the function graphed below.

Mathematics

1 answer:

avanturin [10]2 years ago

6 0

Given the vertex of the parabola at point (2, -3):

The quadratic function in vertex form is:

f(x) = (x - 2)^2 - 3

where the vertex (h, k) is the minimum point = (2, -3).

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Find each of the following for

KATRIN_1 [288]

<h2>Answer:</h2>

(a)

$f(x+ h)=8x+8h+3$

(b)

$f(x+ h)-f(x)=8h$

(c)

$\dfrac{f(x+ h)-f(x)}{h}=8$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as :

$f(x)=8x+3$

(a)

$f(x+ h)$

We will substitute (x+h) in place of x in the function f(x) as follows:

$f(x+h)=8(x+h)+3\\\\i.e.\\\\f(x+h)=8x+8h+3$

(b)

$f(x+ h)-f(x)$

Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:

$f(x+h)-f(x)=8x+8h+3-(8x+3)\\\\i.e.\\\\f(x+h)-f(x)=8x+8h+3-8x-3\\\\i.e.\\\\f(x+h)-f(x)=8h$

(c)

$\dfrac{f(x+ h)-f(x)}{h}$

In this part we will divide the numerator expression which is obtained in part (b) by h to get:

$\dfrac{f(x+ h)-f(x)}{h}=\dfrac{8h}{h}\\\\i.e.\\\\\dfrac{f(x+h)-f(x)}{h}=8$

5 0

2 years ago

Help Me Please (30 Points) + Brainliset Answer (Repost)

allsm [11]

60 x 60 = 3600 (1 hour)
60 x 30 = 1800 (half hour)
3600 + 1800 = 5400 for one and half hour
answer C. 5400

7 0

2 years ago

Read 2 more answers

Use the zeros of the following quadratic to find the x-value of the vertex.

frez [133]

(x-1)^2 is the factored version, so vertex is at 0, which is 1, so, A

6 0

2 years ago

The area of the figure. Use 3.14 for pie

balu736 [363]

Answer:

54.5 $ft^{2}$

Step-by-step explanation:

divide it to one rectangle and two different triangles.

Rectangles area: (8+3)*4 = 44 $ft^{2}$

triangle top: 4*3/2 = 6 $ft^{2}$

triangle bottom: 3*3/2= 4.5 $ft^{2}$

sum the all up: 44+6+4.5 = 54.5 $ft^{2}$

don't know how to do it with π though if that's obligatory

5 0

2 years ago

What is the value of 9^-1/2

qaws [65]

Answer:

81-1/2

80/2

40 and right than say

7 0

2 years ago

Read 2 more answers