Practice — what type is this question? (Functions Graphs)

In the diagram, g(x) = −2x² + 8 and f(x) = mx + c. T(0 ; 8) is the y-intercept of g. f passes through T and through R, the other x-intercept of g. 5.4 Determine the equation of f.

Source: DBE Mathematics Paper 1, Grade 10, November 2017, Question 5.4

In the diagram, g(x) = ax² + q. T(0 ; 8) is the y-intercept of g and S(2 ; 0) is an x-intercept of g. 5.3 Calculate the values of a and q.

Source: DBE Mathematics Paper 1, Grade 10, November 2017, Question 5.3

Sketched below are the graphs of f(x) = ax² + q and g(x) = (1/2)^x − 4. A and B are the x-intercepts of f. The graphs intersect at A and point E(1 ; 3) lies on f. C is the turning point of f and D is the y-intercept of g. 5.4 For which values of x is: 5.4.1 f(x) > 0? 5.4.2 f decreasing?

Source: DBE Mathematics Paper 1, Grade 10, November 2018, Question 5.4