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
Elden [556K]
1 year ago
14

The equation of a quadratic is =2^2+3−2and after you factorizing 2^2+3−2=0you got x = -2 and x = 1/2 and the curve crosses the y

-axis at (0,-2)Using the information above, sketch the graph of =2^2+3−2
Mathematics
1 answer:
Lelechka [254]1 year ago
6 0

Given the next quadratic function:

y=2x^2+3x-2

to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:

x_V=\frac{-b}{2a}

where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:

\begin{gathered} x_V=\frac{-3}{2\cdot2} \\ x_V=-\frac{3}{4}=-0.75 \end{gathered}

The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:

\begin{gathered} y_V=2x^2_V+3x_V-2 \\ y_V=2\cdot(-\frac{3}{4})^2+3\cdot(-\frac{3}{4})-2 \\ y_V=2\cdot\frac{9}{16}+3\cdot(-\frac{3}{4})-2 \\ y_V=\frac{9}{8}-\frac{9}{4}-2 \\ y_V=-\frac{25}{8}=-3.125 \end{gathered}

The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:

You might be interested in
Consider the polynomial equation x(x-3)(x+6)(x-7)=0. Which of the following are zeroes of the equation? Select all that apply.
Marina CMI [18]
If looking for the answer it would be 0, 3, -6, 7
6 0
3 years ago
A class has 6 girls and 15 boys. Write the ratio of girls and boys as a fraction in simplest form
Lynna [10]
The answer is 2/5, which is 2 over 5
8 0
2 years ago
Read 2 more answers
match the steps to find the equation of the parabola with focus (-1, -8.75) and directrix y = - 9.25.
choli [55]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistant from S and d

Focus S=(-1,2), d:x-5=0]

5 0
2 years ago
3x^2 + 16x + 21 = 0<br> Leave your answer as a fraction!
Pachacha [2.7K]

Answer:

x=-3 or x=-7/3

Step-by-step explanation:

5 0
2 years ago
Please please help me
qwelly [4]

Answer:

  BF = 30

Step-by-step explanation:

Each midsegment is half the length of the parallel side of the triangle. CE is 60 and is parallel to BF, so BF = 60/2 = 30.

4 0
3 years ago
Other questions:
  • Identify the factors of x2 + 16y2.
    10·2 answers
  • A country's population in 1992 was 72 million. In 1998 it was 76 million. Estimate the population in 2012 using the exponential
    14·1 answer
  • If X = 4 units, Y = 6 units, and Z = 13 units, what is the volume of the rectangular prism shown above?
    12·2 answers
  • A 72° sector in a circle has an area of 16.4π yd². What is the area of the circle? Use 3.14 for pi.
    11·1 answer
  • Which equation has no solution?
    5·1 answer
  • Question 5(Multiple Choice Worth 5 points)
    12·2 answers
  • If (1/4)^(x+y) = 256 and log₄(x-y) = 3, what are the exact values of x and y
    14·1 answer
  • Can someone help me please and thank you!!
    10·1 answer
  • 5 out of 20 is what percent?
    14·2 answers
  • The angles below form a linear pair. What is the measure of angle ABC
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!