y = (x-4)(x-4) * * * The factors above are shown correctly. The axis of symmetry is the vertical line passing through the vertex, which is the point located at (4, 0). The equation of that line is x = 4, which is the answer you requested.
It's a linear equation in two variables. When it's graphed, the graph is a straight line with a slope of 12 that intersects the y-axis at y=120.
y = 4x + 1 is a straight line making an angle with the x-axis whose tangent is 4 and passes through the point (0,1) or just a line passing though (0,1) and (-1/4, 0)
A line intercepts the y axis when x=0. If we put x=0 into the equation we get 2x0 + 6y = 36 6y = 36 y = 6 (dividing both sides by 6) Thus the line intercepts the y axis when x is 0 and y is 6. This is the point with the coordinates (0,6)
x+y=12 is a linear (straight line) equation in the xy-plane. Alternate forms are y=12-x and x=12-y. The form y=12-x is most familiar, and it is a straight line with a slope of -1 that intercepts the y-axis at 12 and the x-axis at 12.
This is an equation of a straight line. There is no 'one solution' for x and y. The line will cross the y-axis at y = 6, and the slope is -3.
when x = -0.25
5, of course!
If the equation of the line is written in the standard form: y = mx + c, then it crosses the y-axis at the point (0,c). Here y = x+2 so the y-intercept is (0,2).
Yes, it crosses at (0.23,0) and (1.43,0).
It is the line obtained by joining the following points ----->>> (3,0) on x axis and (0,3) on y axis This line is tilted to 45 degrees from negative x axis.
Zero, the line is parallel to the x-axis at a distance 4+3 = 7
It is: y = -7 which is a straight line parallel to the x axis
It is a horizontal line, three units below the x-axis.
rearrange: y = 3x - 3, which crosses the x-axis when y = 0, ie when x = 1
None, it touches it at x = -3.For a quadratic y = ax2 + bx + c, it will meet the x-axis (y = 0) either 0, 1 or 2 times dependent on: b2 - 4ac. If b2 - 4ac is:> 0 the line meets the x-axis twice, so crosses it twice= 0 the line meets the x-axis once, so it does not cross it but only meets it.< 0 the line does not meet the x-axis at all, so cannot cross it.for y = x2 + 6x + 9:b2 - 4ac = 62 - 4 x 1 x 9= 36 - 36= 0so the line meets the x-axis once, but does not cross it - all the values of y are greater than, or equal to zero, but never negative.
Line of symmetry: x = 3