Functions

Finding the formula of a quadratic function

Types of exercises: matching a formula to a parabola, formula of a quadratic from its properties, formula of a quadratic function read from its graph.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Give the formula of the quadratic function f in general form

The range of the quadratic function f is (−∞, 4], the axis of symmetry of its graph is the line x = −1, and f(0) = 1.

2

Which formula describes the quadratic function whose graph is shown in the figure?

y = f(x)

Graph of a quadratic function fxy−6−5−4−3−2−112345−6−5−4−3−2−1123450f
3

Give the formula of the function f in general form

The figure shows the graph of a quadratic function f. The point V is the vertex of the parabola and the point A lies on the parabola. Both points lie on grid nodes.

Graph of a quadratic function f with the vertex V and the point A markedxy−6−5−4−3−2−112345−6−5−4−3−2−1123450fVA
4

Give the formula of the quadratic function f in general form

The vertex of the parabola that is the graph of the quadratic function f is the point (3, −4), and the graph passes through the point (6, 14).

5

Which formula describes the quadratic function whose graph is shown in the figure?

y = f(x)

Graph of a quadratic function fxy−6−5−4−3−2−112345−6−5−4−3−2−1123450f
6

Give the formula of the function f in general form

The figure shows the graph of a quadratic function f. The point V is the vertex of the parabola and the point A lies on the parabola. Both points lie on grid nodes.

Graph of a quadratic function f with the vertex V and the point A markedxy−6−5−4−3−2−112345−6−5−4−3−2−1123450fVA
7

Give the formula of the quadratic function f in general form

The quadratic function f has zeros 3 and 6, and its graph crosses the y-axis at the point (0, 18).

8

Which formula describes the quadratic function whose graph is shown in the figure?

y = f(x)

Graph of a quadratic function fxy−6−5−4−3−2−112345−6−5−4−3−2−1123450f
9

Give the formula of the function f in general form

The figure shows the graph of a quadratic function f. The point V is the vertex of the parabola and the point A lies on the parabola. Both points lie on grid nodes.

Graph of a quadratic function f with the vertex V and the point A markedxy−6−5−4−3−2−112345−6−5−4−3−2−1123450fVA
10

Give the formula of the quadratic function f in general form

The range of the quadratic function f is [8, +∞), the axis of symmetry of its graph is the line x = 4, and f(0) = 24.

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Finding the formula of a quadratic function - exercises with solutions (Functions) | PhiBoard