Fixing or choosing the

**x-axis**determines the**y-axis**up to direction. Namely, the**y-axis**is necessarily the perpendicular to the**x-axis**through the point marked 0 on the**x-axis**. But there is a choice of which of the two half lines on the perpendicular to designate as positive and which as negative.Question 3: For a linear equation y = 2x + 6, find the point where the straight line meets

**y-axis**on the graph. Answer: On**y-axis**, the x-coordinate of the point is 0. Therefore, we can find the intersection point of**y-axis**and y = 2x + 6 by simply putting the value of x as 0 and finding the value of y. y = 2(0)+6 = 0 + 6 = 6.In this graph, we can see that y = cos(x) exhibits

**y-axis**symmetry; reflecting the**cosine**graph across the**y-axis**produces the same graph. This confirms that**cosine**is an even function, since cos(x)=cos(-x). General**cosine**equation. The general form of the**cosine**function is. y = A·cos(B(x - C)) + D. where A, B, C, and D are constants.**Definition**of**Intercept**. The point where the line or curve crosses the axis of the graph is called**intercept**. If a point crosses the**x-axis**, then it is called the x-**intercept**. If a point crosses the**y-axis**, then it is called the y-**intercept**. The meaning of**intercept**of a line is the point at which it intersects either the**x-axis**or**y-axis**.Multiplying these distances times the scale factor, 4, means our new point must be 12 horizontal (

**x-axis**) units from the center of**dilation**, and 8 vertical (**y-axis**) units from the same center of**dilation**, at (13, 11). You can check this by drawing a line from the center of**dilation**through the preimage point.The presumption that the axis is parallel to the

**y axis**allows one to consider a**parabola**as the graph of a polynomial of degree 2, and conversely: the graph of an arbitrary polynomial of degree 2 is a**parabola**(see next section).2. Equation of

**x-axis**is y = 0. (Because, the value of y in all the points on**x-axis**is zero) 3. Equation of**y-axis**is x = 0. (Because, the value of x in all the points on**y-axis**is zero) 4. Equation of a line in general form : ax + by + c = 0. 4. Equation of a line in standard form : ax + by = c