the graph is moved down 6 units
Y=X^2 is a function for it forms a parabola on a graph.
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
One. It is a double root.
That's true at the point (0.5, 0.25) where the slope of the graph is ' 1 ' .
No translation will invert a quadratic graph.
the graph is moved down 6 units
First, reflect the graph of y = x² in the x-axis (line y = 0) to obtain the graph of y = -x²; then second, shift it 3 units up to obtain the graph of y = -x² + 3.
9
Y=X^2 is a function for it forms a parabola on a graph.
y = x2 + 4 The graph is a parabola, with its nose at y=4 on the y-axis, and opening upward.
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
One. It is a double root.
That's true at the point (0.5, 0.25) where the slope of the graph is ' 1 ' .
It looks like a parabola which looks like a U shape.
y = x2 is an (approximately) U shaped graph that is entirely above the x axis and is symmetric about the y axis. y = x3 is asymptotically negatively infinite when x is negatively infinite and positively infinite when x is positively infinite. It is symmetric about the line x+y=0.
It keeps the same shape and size, but the whole thing rises four units on the paper, as if by magic.