Consider the function $y=4x-3$y=4x−3.

Find the gradient function of $y=4x-3$y=4x−3.

Hence graph the gradient function.

Consider the function $y=\left(x-5\right)^2-3$y=(x−5)2−3 graphed below.

Consider the function $y=-\left(x+7\right)^2+5$y=−(x+7)2+5 graphed below.

Consider the function $y=x^2-10x+29$y=x2−10x+29 graphed below.

Sketch the graphs of functions and their gradient functions and describe the relationship between these graphs

Apply calculus methods in solving problems