In the xy-coordinate plane, the graph of `y = 5x^(2)-12x` intersects the grphs of `y=-2` at points (0,0) and (a,b). What is the value of a ?

In the xy-plane, the graph of y = 3x^2 − 14x intersects the graph of y = x at the points (0, 0) and (a, a). What is the value of a ?

In the xy-plane, the graph of y + 3x =5x ^(2) +6 and y -6 =2x intersect at points (0,6) and (a,b). What is the value of b ?

g(x) =x^4-kx^3+13x^2-12x+4 The function g is defined above, and k is a constant. In the xy- plane, the graph of g intersects the y - axis at (0, 4) and intersects the x - axis at (1, 0) and (2, 0) . What is the value of k?

The graph of y = 2x^2 + 10x + 12 is shown. If the graph crosses the y -axis at the point ( 0, k) , what is the value of k ?

The graph of y = cos.(x)/(2) is shown in Figure Point a has coordinates (t, 0). What is the value of t in radians ?

What is the y - coordinate of the point at which the graph of y = 2 sin x - cos 2 x intersects the y - axis ?

A standard parabola in the x,y coordinate plane intersects the x-axis at (5,0) and (-5,0). What is the value of the x-coordinate of this parabola's line of symmetry?

The graph of a line in the xy-plane passes through the point (1, 4) and crosses the x-axis at the point (2, 0). The line crosses the y-axis at the point (0, b). What is the value of b ?

The graph of line in the xy-plane passes through the point (-2,k) and crosses the x-axis at the point (-4,0) The line crosses the y-axis at the point (0,12). What is the value of k?