New Zealand
Level 7 - NCEA Level 2

# Key Features of Graphs and the Derivative

## Interactive practice questions

Consider the function $y=4x-3$y=4x3.

a

Find the gradient function of $y=4x-3$y=4x3.

b

Easy
Approx a minute

Consider the function $y=\left(x-5\right)^2-3$y=(x5)23 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=x210x+29 graphed below.

### Outcomes

#### M7-9

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

#### 91262

Apply calculus methods in solving problems