If f(x) = x2 + 25, then to plot f(x) on a graph would give you a parabolic curve extending infinitely upward with a minimum value of 25, and it's vertex at the point (0, 25).
It looks like a parabola which looks like a U shape.
Assuming you meant y=x2 & y=x2-4 They are both straight-line graphs, however - they produce different results. Using the values of 1,2,3,4 & 5 for x (as an example)... In the first equation, the value of y would be 1,4,8,16 & 25 In the second equation, y would be -3,0,4,12 & 21
the graph is moved down 6 units
x2+(y-x2/3)2=1
Select two points on the graph and suppose their coordinates are (x1, y1) and (x2, y2) then the gradient = (y1 - y2) / (x1 - x2) provided that x1 and x2 are different. If not, the gradient is not defined.
if y = x2 + 10x + 25 then y = (x + 5)2 This tells us that the graph would be a parabola, with it's vertex at (-5, 0), and a range of 0 to infinity.
No translation will invert a quadratic graph.
It consists of two disjointed line segments: x ≤ -3 and x ≥ 3.
It looks like a parabola which looks like a U shape.
Assuming you meant y=x2 & y=x2-4 They are both straight-line graphs, however - they produce different results. Using the values of 1,2,3,4 & 5 for x (as an example)... In the first equation, the value of y would be 1,4,8,16 & 25 In the second equation, y would be -3,0,4,12 & 21
the graph is moved down 6 units
x2+(y-x2/3)2=1
Select two points on the graph and suppose their coordinates are (x1, y1) and (x2, y2) then the gradient = (y1 - y2) / (x1 - x2) provided that x1 and x2 are different. If not, the gradient is not defined.
For the general straight line eq'n ; y = mx + c 'm' is the slope 'c' is the y-intercept. For a pair of point on a graph ( x1,y1,) & ( x2,y2) Then m = {y1 - y2) / ( x1 -x2) Note the 'y' co-ords go on the top , and the 'x' co-ods go on the botton. Note also The position of first term '1' and the second '2' term. Otherwise you will have a wrongly calculated slope/gradient.
y=x2+4x+1
The graph is a parabola facing (opening) upwards with the vertex at the origin.
The cubic function is the name of graph that is steeper on the way up than on the way down. An absolute value function is a grpah that is shaped a bit like a y=x2 parabola.