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
lilavasa [31]
3 years ago
7

Given the x-intercepts for the graph of a quadratic function, write a possible formula for the quadratic function, in

Mathematics
1 answer:
eduard3 years ago
5 0

Answer:

Step-by-step explanation:

x-intercepts are SOLUTIONS to a quadratic whereas when you put those solutions into factor form (in a set of parenthesis), you have the FACTORS of the quadratic.  They are the same thing generally, they are just written in different forms.  For example, if a solution to a quadratic is x = 3, it has been understood that x = 3 when y = 0. Therefore, if x - 3 = y and y = 0, then x - 3 = 0.  Solving that for x, you get x = 3.  That factor of x = 3 is (x - 3).

Following that logic, for a:

If the x intercepts are x = 0 and x = 3, it is understood that x + 0 = 0 so x = 0 and the factor is (x + 0) (it could also be x - 0 since adding 0 is the same as subtracting 0); if x = 3 it is understood that x - 3 = 0 and the factor is (x - 3).

For b:

If the x-intercepts are x = -1 and x = 1, then originally the factors were (x + 1) and (x - 1).  Again, set each of those equal to 0 and solve for x (THE X-INTERCEPT EXISTS WHERE Y = 0!)

For c:

If the x-intercepts are x = -5 and x = 10, then originally the factors were (x + 5) and (x - 10).

For d:

If the x-intercept is a fraction, do the same thing:

x = 1/2 so

x - 1/2 = 0 Now multiply both the x and the 1/2 by a 2 to get the factor (2x - 1) and the other factor from x = 4 is (x - 4)

You might be interested in
Write a slope- intercept equation for a line with given characters m=-4/5, passes through (-4,-5)
aleksandr82 [10.1K]

\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{4}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-\cfrac{4}{5}}[x-\stackrel{x_1}{(-4)}]\implies y+5=-\cfrac{4}{5}(x+4) \\\\\\ y+5=-\cfrac{4}{5}x-\cfrac{16}{5}\implies y=-\cfrac{4}{5}x-\cfrac{16}{5}-5\implies y=-\cfrac{4}{5}x-\cfrac{41}{5}

6 0
3 years ago
What is the slope of the line represented by y = 5x - 7?​
Ghella [55]
The slope of the line is 5/1 because the number by the x is always your slope and it is always to be announced as a fraction so you add 1 as the denominator if there isn’t already a denominator.
6 0
3 years ago
Read 2 more answers
Show me how to do this on paper i need it right now
postnew [5]

Answer:

Step-by-step explanation:

32 x 10 = 320

32 x 4 = 128

320 + 128 = 448

3 0
2 years ago
Read 2 more answers
On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(5, 4) and Q(−2, 4). What is the length of Side
Sedaia [141]
The answer is c. 7 units .
7 0
2 years ago
Read 2 more answers
Table and graph for y=40x
Marina CMI [18]
Slope =40
Y-intercept =0
7 0
3 years ago
Other questions:
  • 18+24=6x3+4x6=6(4+6)____+_____
    9·2 answers
  • (05.02 MC)
    6·1 answer
  • the math club has 39 members, 21 girls and 18 boys. what is the ratio of girls to boys in the math club
    8·1 answer
  • Greg builds a new pond which has a volume of 7.35 m3. It is 4.2 m long and 50 cm deep. What is the width of the pond?
    13·2 answers
  • What is the value of h(-2)=3x+1 is what
    10·2 answers
  • Is 2.549 the same as2.5
    10·1 answer
  • 7.5x(D-2.5)for D=3.5
    15·1 answer
  • Solve with Quadratics
    14·1 answer
  • Which equation is represented by the graph below?
    12·1 answer
  • 4 1/4 x 2 9/10 x 2 1/2=
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!