Find the x-intercept of parabola with vertex (1,-17) and y-intercept (0,16) ?

Y=a (x-1) ^2 - 17 is the equation of the parabola.

at (0,16), 16=a (0-1) ^2 - 17. Solve for a = 33.

Equation is then y=33 (x-1) ^2-17 so when y=0,

(x-1) ^2 = 17/33

x-1 = + and - square root of 17/33

x = 1.7177 and 0,2823 as the intercepts