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
Pepsi [2]
3 years ago
11

I really am bad with math and just have given up

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0
Well hmmm does the graph open upwards or downwards?  well
is a quadratic, if the leading term's coefficient is negative, Down, if positive, Up

a)
now, let's see the leading term, -x², what's its coefficient? is -1 * x² or -1x², is -1, so is negative, thus is opening downwards

c)
x-intercepts occur, when y = 0, namely y = -x²-4x-3, so setting y to 0
0 = -x² -4x -3 take a common factor of -1, thus

0 = -1 (x²+4x+3)  <--- now, if we factor that out, notice, surely you've done many of these by now, so we end up with 

\bf \begin{array}{lcclll}&#10;0=x^2&+4x&+3\\&#10;&\uparrow &\uparrow \\&#10;&3+1&3\cdot 1&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;0=(x+3)(x+1)\implies &#10;\begin{cases}&#10;0=x+3\implies &-3=x\\&#10;0=x+1\implies &-1=x&#10;\end{cases}

so, the x-intercepts are at -3 and -1

d)

now, the y-intercepts, just set x = 0
y = -x²-4x-3, settting x to 0 y = -0²-4(0)-3, which is y = -3

so the sole y-intercept is at y = -3


now, let's get on to b)

b)   \bf \textit{vertex of a parabola}\\\\&#10;&#10;\begin{array}{lccclll}&#10;f(x)=&-1x^2&-4x&-3\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&b&c&#10;\end{array}\qquad &#10;\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)

and those are the coordinates, notice a = -1, b = -4 and c = -3

now, for

e)

well, all you have to do is, once you have the vertex, pick an x-value on the left-hand-side of the vertex, get they value for "y", or OUTPUT,

then pick another x-value, on the right-hand-side of the vertex, get the "y" value again, and plot away
You might be interested in
HELLPPPP ANSWERRR AND EXPLAIN!!!!!​
bixtya [17]

Answer:

No

Step-by-step explanation:

This is because K and B don't share the same angle measurement. They both will be different numbers that must equal 180 degrees. With that K will be corresponding with J while B will be corresponding with D.

Hope this Helped

5 0
2 years ago
Read 2 more answers
Help me with this two questions
Anni [7]
First question: 0

Second question: 0.94
5 0
3 years ago
A set of numbers is shown below: {0, 0.4, 1, 2, 3} Which of the following shows all the numbers from the set that make the inequ
klemol [59]

Answer:

{1,2,3}

Step-by-step explanation:

The others will not show all the numbers from the set to make the inequality true

8 0
3 years ago
Place the grouping symbols to make this equation true. 84-48/8-4=72
vlabodo [156]
84-6-4=72
48/4=12. 84-12= 72
84 - (48/(8-4)) = 84 - (48/4) -4 = 72
84 - 12 = 72
4 0
3 years ago
AB = 6cm , AC = 12cm <br> Calculate the length of CD <br> Give your answer to 3 significant figures
Len [333]

Answer:

144-36=108

Square root 108 = 10.4cm (cb)

Soh Cah toa

Sin(55) =o/h

=10.4/h

xh

H x sin55 =10.4

÷sin55

H= 10.4/sin55

H=12.7cm

CD is 12.7cm to 3 s.f.

6 0
2 years ago
Other questions:
  • A European automobile has a gas mileage of 16km/L .. What is the gas mileage in miles per gallon?. Express your answer using two
    5·1 answer
  • What is the square root of 49
    6·2 answers
  • what do you call a relation where each element in the domain is related to only one value in the by some rules​
    5·1 answer
  • The multiplication of two or more quantities may be expressed as the ? of the same quantities.
    12·1 answer
  • I'm really bad at math
    15·1 answer
  • Please simplify:<br> 35-[x+7]<br> cause i don't get it.
    15·2 answers
  • The measure of central angle QRS is radians. What is the area of the shaded sector? 36 72 144 324
    14·2 answers
  • What is the distance between points W (-6, 4) and X (6,-8) to the nearest hundredth?
    10·1 answer
  • Solve the equation. 6x=2x^2+1
    7·1 answer
  • Nicole is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Nicol
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!