Collect like terms
0+2-1-3+2
calculate the sum or difference
0+0
remove 0
solution: 0
General Idea:
Vertical line test is a test used to determine if a relation is a function. As per vertical line test, a relation is a function if there are no vertical lines that intersect the graph at more than one point.
Applying the concept:
Kelly ask Tyrese to help her use the vertical line test to determine whether or not the curve that she was given it is a function Tyrese informed Kelly that an order for the given curve to be designated as a function of a vertical line drawn through any x value must intersect the Curve time.
The transformation set of values for function is this is an interval to which sine function maps.
You can observe that the interval to which function maps equals to .
So let us take a look at the possible options.
Option A states that shifting up by would result in having an interval which is clearly not true that means A is false.
Let's try option B. Shifting down by to get would mean that has a transformation interval of . This seems to fit our observation and it is correct.
So the answer would be B. If we shift down by one we get , which means that and .
Hope this helps :)
Answer:
Option A
Step-by-step explanation:
Equation of the given quadratic function is,
y = 2x² + 8x + 3
y = 2(x² + 4x) + 3
= 2(x² + 4x + 4 - 4) + 3
= 2(x + 2)² - 8 + 3
= 2(x + 2)² - 5
By comparing this equation with the equation of a quadratic function in vertex form,
y = a(x - h)² + k
Here (h, k) is the vertex of the parabola
Vertex of the given equation will be (-2, -5) and coefficient 'a' is positive (a > 0)
Therefore, vertex will lie in the 3rd quadrant and the parabola will open upwards.
Option (A). Graph A will be the answer.
Answer:
x = -10
Step-by-step explanation:
2(x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10