Step 1: convert the equation into fhe vertex form
To do you can complete squares:
y = - [x^2 + 4x + 3]
y = - [ (x + 2)^2 - 4 + 3]
y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1
Then the vertex is (-2, 1)
Now you can drasw the vertex
Step 2: Find the roots (zeros)
y = - [ (x + 2)^2 - 1] = 0
(x + 2)^2 - 1 = 0
(x+2)^2 = 1
(x+2) = (+/-) √1
x + 2 = (+/-1)
x = - 2 +/- 1
x = -1 and x = -3
Now you draw the points (-1,0) , (-3,0)
Step 3: find the interception with the y-axis.
That is y value when x = 0
y = - (0)^2 - 4(0) - 3 = -3
Then draw the point (0, -3)
Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.
So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
QUESTION 1
The given expression is
The greatest common factor is .
We factor to obtain;
QUESTION 2
The given quadratic equation is
We split the middle term to obtain
Factor by grouping;
Use zero product property;
QUESTION 3
The given system of equation is
If we multiply by 3, we obtain;
If we multiply by 4 we obtain;
Adding the last two equations will give us;
The y-variable is eliminated.
Answer:Multiply 3x+4y=−8
by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.
Answer:
Step-by-step explanation:
Answer:
his path
Step-by-step explanation:
In order to determine the total distance driven from one place to another, you need to know the path taken.