How do you graph the function y=x-3? - Socratic
Jan 31, 2017 · x = 3. So the y-intercept is at the point P → (x,y) = (3,0) See explanation The graph of y=x-3 is almost the same as y=x. The difference is that every point on y=x has been lowered by 3. Thus, instead of the y-intercept being at y=0 it is at y=-3 instead. Consider the generic equation of y=mx+c color (white) (.) where m is the gradient (slope).
How do you graph the inequality y > x - 3? - Socratic
Oct 15, 2015 · Explanation: y> x −3. Determine two points by substituting values for x and solving for y. Then plot the points and draw a dashed straight line through the points to indicate that they are not part of the inequality. Shade in the area above the line. x = 0, y = − 3. x = 3, y = 0. graph {y>x-3 [-10, 10, -5, 5]} Answer link.
How do you graph y= x - 3? + Example - Socratic
May 10, 2016 · In straight line graphs it is better to determine 3 points as the third point acts as a check. They should all line up. Determine point 1 → P 1 → (x1,y1) Let x = 0 giving y = 0 −3 ⇒ y = −3. Let y = 0 giving 0 = x −3. Add 3 to both sides. ⇒ 0 + 3 = x − 3 + 3. But -3+3=0#.
What is the domain and range of y = x^3? | Socratic
Jul 1, 2016 · Explanation: The domain of any graph includes all the x-values that are solutions. The range accounts for all y-values that are solutions. graph {x^3 [-10, 10, -5, 5]} According to this graph of the equation, we see that the x-values continuously increase while y-values do the same. This means the domain solutions are all numbers, or from ...
How do you graph y=3/2 x + 3? - Socratic
Jun 8, 2018 · y = 3. The y-intercept is: (0,3). Plot the x- and y-intercept and draw a straight line through them. graph {y=3/2x+3 [-10, 10, -5, 5]} Answer link. Start with the point ( 0 + 3) then go up 2 and over 3 to point ( 3,5) connect the dots. The equation is in the slope intercept form which makes this easy y = mx + b where m = the slope ( think ...
How do you find the important points to graph y = (x - 3)² + 1?
Nov 2, 2015 · If a is positive then the graph is a horse shoe shape with the curve at the bottom. If negative then the other way round. Using standard form equation. x of (x,y)minimum is (− 1 2) × b a. x of (x,y)minimum = (− 1 2) ×(−6) = +3. substitute x = 3 in your equation to find yminimum. Putting it all together.
How do you graph y=x/3+1? - Socratic
Apr 8, 2018 · Step 1. Graph the Parent Function: y = x. Observe that the linear equation goes through the origin (0,0) Step 2. Graph the function y = x 3. Observe that the linear equation goes through the origin (0,0) as well similar to the parent function. Step 3. Graph the given function y = x 3 + 1. Observe the following:
Slope of a Curve at a Point - Calculus - Socratic
Slope of a curve y = x2 − 3 at the point where x = 1? First you need to find f '(x), which is the derivative of f (x). f '(x) = 2x − 0 = 2x. Second, substitute in the value of x, in this case x = 1. f '(1) = 2(1) = 2. The slope of the curve y = x2 − 3 at the x value of 1 is 2. AJ Speller · · Sep 21 2014.
How do you graph y = (x+3)^2-1? - Socratic
Aug 26, 2015 · Find the vertex and axis of symmetry. Plot the vertex. Determine points on both sides of the axis of symmetry. Plot the points. Sketch a curve to represent the parabola. Do not connect the points. y=(x+3)^2-1 is in the vertex form of a parabola, y=a(x-h)-1, where h=-3 and k=-1. First find the vertex. The vertex of the parabola is the point (h,k)=(-3,-1). This is the …
How do you graph y= (2/3)x - 3? - Socratic
Feb 26, 2016 · Explanation: The slope intercept equation of a line is. y = mx + b. where m is the slope and b is the y intercept. For the equation y = 2 3x − 3. The slope m = 2 3 and the y intercept b = −3. Begin by identifying the y intercept at -3 or the point (0,-3) Next use the slope m = 2 3 or m = 2rise 3run to determine the next point of the graph ...