Use the figure to complete each part.F12GEH(a) Write two other names for ∠2.and(b) Name the sides of ∠GFE.and(c) Name the vertex of ∠1.

QUESTION 1The diagram below shows the functions of and𝑓(𝑥) =− 2𝑥2 + 5𝑥 + 3. is the turning point of and and are the𝑔(𝑥) = 2𝑥 + 1 𝐶 𝑓(𝑥), 𝐴 𝐸intercepts of . and are points on both graphs and . cuts𝑥 − 𝑓(𝑥) 𝐷 𝐴 𝑓(𝑥) 𝑔(𝑥) 𝑓(𝑥)the axis at and cuts the axis at .𝑦 − 𝐵 𝑔(𝑥) 𝑦 − 𝐼Figure 1: Diagram for Question 1.4Use the information and diagram above and:1.1 Calculate the length of:1.1.1 𝐴𝐸 (4)1.1.2 𝐵𝑂 (2)1.1.3 𝑂𝐹 (3)1.1.4 𝐶𝐹 (3)1.1.5 𝐵𝐼 (2)1.2 Determine the coordinates of .𝐷 (6)1.3 Write down the values of for which .𝑥 𝑓(𝑥) < 𝑔(𝑥) (2)1.4 Write down in the form using completing𝑓(𝑥) 𝑓(𝑥) = 𝑎(𝑥 − 𝑝)2 + 𝑞,the square. (4)1.5 Write down the domain of .𝑓(𝑥) (1)1.6 Write down the range of .𝑔(𝑥) (1)[28

In the figure below, =m∠3134°. Find m∠1,  m∠2,  and m∠4.

Determine the vertex of the following function:𝑔(𝑥)=|𝑥+3|−2𝑔(𝑥)=|𝑥+3|−2The vertex of the function is: ((

In given figure, A, B and C are points on OP, OQand OR respectively such that and .𝐴𝐵∥𝑃𝑄 𝐴𝐶∥𝑃𝑅Show that BC∥𝑄𝑅

Find the vertex of the parabola:  𝑓(𝑥)=−3𝑥2−36𝑥−4   𝑥= 𝑦=