Point slope form is y2-y1=m(x2-x1).
The slope m that is perpendicular to y=-4x-1 will be 1/4 (the opposite reciprocal). Then you can use (-2,7) as the x and y values to plug into the formula:
y-7=1/4(x+2) is the answer.
Answer:
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (
-4,2).
The coordinates of the point that is a reflection of Y across the y-axis are (
4,-2).
Step-by-step explanation:
<em>Reflection across x-axis</em>
<em>The rule used for Reflection across x-axis is that y-coordinate becomes negated while x coordinate remains same.</em>
So,
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (
-4,2).
Because according to definition, x-coordinate remains same, while y-coordinate is negated. So x-coordinate = -4, y-coordinate = 2
<em>Reflection across y-axis</em>
<em>The rule used for Reflection across y-axis is that x-coordinate becomes negated while y coordinate remains same.</em>
So,
The coordinates of the point that is a reflection of Y across the y-axis are (
4,-2).
Because according to definition, y-coordinate remains same, while x-coordinate is negated. So x-coordinate = 4, y-coordinate = -2
Answer:
<em>Observe attached image</em>
<em>Function zeros:</em>
(3, 0), (5, 0)
<em>Vertex:</em>
(4, 2)
<em>Axis of symmetry:</em>
<em>
</em>
Step-by-step explanation:
<u>First factorize the function</u>

<em>Take -2 as a common factor.</em>

<em>Now factor the expression
</em>
You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.
These numbers are -5 and -3
Then we can factor the expression in the following way:

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>
Now we find the coordinates of the vertex.
For a function of the form
the x coordinate of its vertex is:

In the function 

<u>Then the vertice is:</u>

The y coordinate of the symmetry axis is

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.
<u>Then the axis of symmetry is the line</u>

<u>The solutions and the vertice written as ordered pairs are:</u>
<em>Function zeros:</em>
(3, 0), (5, 0)
<em>Vertex:</em>
(4, 2)
y < -|x|
replace the letters with the given numbers:
(1,-2) -2<-|1| this is true
(1,-1) -1 <-|1| this is false
(1,0) 0 < -|1| this I false
The answer is (1,-2)