Please help me on my Pre-Calculus subject about the topic HYPERBOLA. PLESE GIVE COMPLETE ACCURATE ANSWERS WITH ALSO IN-DEPTH ACCURATE SOLUTIONS ANS EXPLANATIONS. Thank you!

Summative 4. Use Graphing paper 1. Write the equation of the hyperbola in standard form if : a) the center is at (-2, 3), a focus is at (-2, 8) and the length of the transverse axis is 8. (5pts) b) the vertices (-2, 3) and (-8, 3) and a focus is at (-10, 3). (5pts.) 2. Find the standard form of the equation of the hyperbola having vertices (0, +10) and asymptotes y = 15x. Then graph (10pts.) 3.Sketch the hyperbola given by 4y2 - 4x2 - 24x + 8y - 68 = 0. (5pts)