The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
Answer:
option-C
terminal
Step-by-step explanation:
We know that
reference angle is between terminal side and x-axis
so, the other side will be terminal position
so, we can write as
The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.
So,
option-C
terminal
Answer:
True answer: -24
Step-by-step explanation:
<em><u>Showing the error</u></em>
-16-2(-2) – 12 First you need to multiply
8(-2) - 12 The error here is that the wrong numbers are multiplied together
-16-12 Add the negatives together
-28 Your answer (the incorrect one)
<em><u /></em>
<em><u>The correct way of solving it</u></em>
-16 -2(-2) - 12 Multiply into the parenthesis
-16 + 4 -12 Add the first two numbers
-12 - 12 Add the numbers together
-24 The answer
<h2> 4(x - 8) + 10 = -10</h2><h2 />
Start by subtracting 10 from both sides.
This gives us 4x - 32 = -20.
Now add 32 to both sides to get 4x = 12.
Now divide both sides by 3 to get <em>x = 3</em>.
Answer:
A
Step-by-step explanation:
The lines cross or touch the X-Axis 4 times which means that there are 4 solutions.
