1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dovator [93]
3 years ago
5

The graph of which function will have a maximum and a y-intercept of 4? f(x) = 4x2 + 6x – 1 f(x) = –4x2 + 8x + 5 f(x) = –x2 + 2x

+ 4 f(x) = x2 + 4x – 4
Mathematics
2 answers:
V125BC [204]3 years ago
7 0

Answer:

Option C (f(x) = -x^2 + 2x + 4)

Step-by-step explanation:

In this question, the first step is to write the general form of the quadratic equation, which is f(x) = ax^2 + bx + c, where a, b, and c are the arbitrary constants. There are certain characteristics of the values of a, b, and c which determine the nature of the function. If a is a positive coefficient (i.e. if a>0), then the quadratic function is a minimizing function. On the other hand, a is negative (i.e. if a<0), then the quadratic function is a maximizing function. Since the latter condition is required, therefore, the first option (f(x) = 4x^2 + 6x - 1) and the last option (f(x) = x^2 + 4x - 4) are incorrect. The features of the values of b are irrelevant in this question, so that will not be discussed here. The value of c is actually the y-intercept of the quadratic equation. Since the y-intercept is 4, the correct choice for this question will be Option C (f(x) = -x^2 + 2x + 4). In short, Option C fulfills both the criteria of the function which has a maximum and a y-intercept of 4!!!

VLD [36.1K]3 years ago
5 0

Answer:

it is c: f(x) = –x2 + 2x + 4

You might be interested in
How many ways are there to distribute five balls into seven boxes if?
katovenus [111]
There are a lot of ways but here are a couple of examples.
1. 1,2,3,4,5 - 1,2,4,5,3 - 1,4,5,3,2...... So on Hope this helps:)
3 0
3 years ago
Find the volume of the cone. Round you’re answer to the nearest truth if necessary. Use 3.14
S_A_V [24]

Answer:

1,961.6

Step-by-step explanation:

3 0
3 years ago
100 points! Please answer this I am going to cry
Yakvenalex [24]

Answer:

The dimensions of the border are 7 yd by 6.25 yd.

4 0
3 years ago
Read 2 more answers
A tree in Michael's yard has 120 leaves and loses an average of 4.5 leaves each day. A tree in Heather‘s yard has 45 leaves and
kaheart [24]

Answer:

60 days

Step-by-step explanation:

7 0
3 years ago
Given a focus of (4, 5) and directrix of y= -3 , find the equation of the parabola.
andrey2020 [161]
Check the picture below.

notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.

keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;(y-{{ k}})^2=4{{ p}}(x-{{ h}})&#10;\\\\&#10;\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------

\bf \begin{cases}&#10;h=4\\&#10;k=1\\&#10;p=4&#10;\end{cases}\implies (x-4)^2=4(4)(y-1)\implies (x-4)^2=16(y-1)&#10;\\\\\\&#10;\cfrac{1}{16}(x-4)^2=y-1\implies \cfrac{1}{16}(x-4)^2+1=y

8 0
3 years ago
Other questions:
  • Work out the area of a parallelogram of base 5m and height 3m
    15·1 answer
  • What is 247x56 equal
    6·2 answers
  • Building a is 271 meters taller than building
    6·1 answer
  • The inverse of y=x^2+8
    9·1 answer
  • Each lap around the track at emma's high school is 1/4 mile. How many laps will emma need to jog if she wants to jog 3 miles?
    9·1 answer
  • I need an answer for question 16. I currently have 24 + 4 =
    14·2 answers
  • What is the opposite of - 2 over 5
    7·2 answers
  • Why do you cross-multiply when you solve proportions?
    9·1 answer
  • Convert 500ml to 4c​
    8·1 answer
  • The figure below is a parallelogram. Find the measure of the<br> variables.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!