A parabola has a vertex at (3,4) and passes through point (-2,-9/4) as shown to the right. Which of the following is the equatio
n for the parabola?
A. y= -4(x-3)^2+4
B. y= -1/4(x-3)^2+4
C. y= -1/2(x-3)+4
A. y= -4(x-3)^2+4
B. y= -1/4(x-3)^2+4
C. y= -1/2(x-3)+4
1 answer:
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First you have to find the intercepts!
To find the y-intercept (I usually do that first), pretend x=0.
Then it becomes:
4(0)-3y=12
Which then becomes:
-3y=12.
Divide both sides, and y = -4.
Then the (x,y) coordinate would become (0, -4).
Next you would find the x-intercept, and pretend y = 0.
Which then becomes:
4x-3(0)=12
3x0 cancels out to become:
4x = 12
And x = 3 because division stuffs.
Then THIS point would then be (3,0).
So then, you would plot (0,-4) and (3,0) on a graph and connect the points! I attached a picture for reference.
hope that helped~
To find the y-intercept (I usually do that first), pretend x=0.
Then it becomes:
4(0)-3y=12
Which then becomes:
-3y=12.
Divide both sides, and y = -4.
Then the (x,y) coordinate would become (0, -4).
Next you would find the x-intercept, and pretend y = 0.
Which then becomes:
4x-3(0)=12
3x0 cancels out to become:
4x = 12
And x = 3 because division stuffs.
Then THIS point would then be (3,0).
So then, you would plot (0,-4) and (3,0) on a graph and connect the points! I attached a picture for reference.
hope that helped~
Answer:
Step-by-step explanation:
By definition, the slope of the line is described as "Rate of change".
You need to use the following formula to calcualte the slope of the line;
In this case you know that the line passes through these two points: (8, -10) and (-6, 14).
Then, you can say that:
Knowing these values, you can substitute them into the formula for calculate the slope of a line:
Finally, you must evaluate in order to find the slope of this line. You get that this is: