Let h(z) = -2z 2 + 12z + 3. Complete the square and find the maximum value of h.

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

A:

Q: Complete the square: x² + 3x+ r_52+ =_x² + ²x+ = (x+ = (x+ )². )². )².

A: The given expressions

Q: Graph the function

A: To sketch the graph of the function.

Q: write the equation for a quadratic function, which zeros are -3, -1 and 2 (order 2) and passes…

A: Zeros are points where function vanishes.

Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

Q: Find the domain

A:

Q: use the process of completing the square to rewrite the following quadratic function in vertex form.…

A:

Q: Jesse tossed a paint brush off her roof. The height of the brush (in meters above the ground) ttt…

A: The given function is , where  represents the height of the brush (in meters above the ground)…

Q: Find the nature of the quadratic form 2x2 + 2y? + 2z² + 2yz

A: Convert the given quadratic form to matrix form and solve it...

Q: Suppose the quadratic possible ordered pairs x2  + bx (b, c) .+ c = 0 , when x = r or x = s . If r2s…

A: The given quadratic equation is x2+bxb,c+c=0.where x=r,s are the roots and b,c are integers.To find:…

Q: Find x - intercept and y-intercept of 2x-3y =6

A:

Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).

A: You are looking for a function with:quadratic functionPoint at (-1|-2)Point at (2|1)Point at…

Q: y = x^{2} - 7x + 6 Rewrite the given quadratic function in the form y = a(x − h)^{2} + k

A: