What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola defined by 'y=(x-4)^2 + 7?

If a(0,0,0) and b(2,2,2) are points in coordinate space, how many paths are there from a to b that move from one lattice point to another in the positive x-,y- or z- direction?

12. decide whether each statement is always true, sometimes true, or never true. a. when corresponding points of an original figure and its reflection are connected, the resulting segments are all perpendicular to the line of reflection. b. when a point is reflected over a horizontal line, the y-coordinate of the point stays the same. answer both questions and explain

Add the fractions, and simply the result to lowest terms. 2/3 + 2/7= ?