Is Y square root of 16 x squared a function?
No. It’s not a function. each x value has 2 y values.
What is the y-intercept of Y 16?
Algebra Examples Using the slope-intercept form, the y-intercept is −16 .
What is the vertex of Y 2 16x?
(0,0)
The vertex is (0,0) because there are no translations in the function.
What is the domain of 16 x?
Algebra Examples Set the denominator in 16x equal to 0 to find where the expression is undefined. The domain is all values of x that make the expression defined.
Can a function have y squared?
1 Expert Answer The parabola you named has its vertex at (0,0) and opens to the right, so every x value > 0 will have two corresponding y values, one positive and one negative. For example, if x = 4, y = 2 and -2.
Is y squared equals x squared a function?
No it is not a function because there are two outputs for every non zero input.
What is the slope of Y 16?
Algebra Examples Using the slope-intercept form, the slope is 0 .
What is the slope and y-intercept of =- 16?
The slope is −2 and the y-intercept is −16 .
What is the equation of the directrix of the parabola y² 16x?
4.6
| Standard equation of a parabola | Focus | Directrix |
|---|---|---|
| (x – h)2 = 4p(y – k) | (h, k + p) | y = k – p |
| (y – k)2 = 4p(x – h) | (h + p, k) | x = h – p |
How do you Factorise y2 16?
Algebra Examples Rewrite 16 as 42 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=y and b=4 .
What is the domain of 16 x 2?
The domain of the expression is all real numbers except where the expression is undefined.
What is the range of Root 16 X Square?
[0,∞)
How do you graph x2 + y2 = 16?
How do you graph x2 + y2 = 16? This is a circle of radius 4 centred at the origin. With center (h,k) and radius r. We have no h or k term, so we know our circle is centered at the origin. We know from √16 that our radius is 4.
What are the x-intercepts of the graph 16-x^2?
The expression 16 – x^2 can be factored as a difference of squares. So, the x-intercepts of the graph are (-4, 0) and (4, 0).
How to plot 16-x^2 as a parabola?
The expression 16 – x^2 can be factored as a difference of squares. So, the x-intercepts of the graph are (-4, 0) and (4, 0). Pick some other values of x, and find the corresponding values of y to get a few more points to plot. Then draw the parabola using a smooth curve that goes through all of the points that you have plotted.