Illustrations of Quadratic Functions

Illustrations of Quadratic Functions

Multiple Choice

Which of the following is NOT a quadratic function?

• $𝑓(𝑥)=2𝑥^2+9$

• $𝑓(𝑥)=10+𝑥−𝑥^2$

• $𝑓(𝑥)=7𝑥^2−3𝑥$

• $𝑓(𝑥)=𝑥^2𝑦+5𝑥−9$

Multiple Choice

Which of the following quadratic function opens downward when graph?

• $𝑓(𝑥)=2𝑥^2+9$

• $𝑓(𝑥)=10+𝑥−𝑥^2$

• $𝑓(𝑥)=7𝑥^2−3𝑥$

• $𝑓(𝑥)=3𝑥^2+5𝑥−1$

Multiple Choice

Which of the following quadratic function opens upward when graph?

• $𝑓(𝑥)=−2𝑥^2+9$

• $𝑓(𝑥)=10+𝑥−𝑥^2$

• $𝑓(𝑥)=7𝑥^2−3𝑥$

• $𝑓(𝑥)=5𝑥−9𝑥^2$

Multiple Choice

If the graph opens downward, then the vertex is the minimum point.

• True

• False

Multiple Choice

If the vertex of the graph is at (5, -2), what will be the axis of symmetry?

• x = - 5

• x = - 2

• x = 2

• x = 5

Multiple Choice

Which of the following is the formula in finding the vertex of a quadratic function?

• $h\ =\ -\frac{b}{2a}\ and\ \ k\ =\ c\ -\ \frac{b^2}{4a}$

• $h\ =\ \frac{b}{2a}\ \ and\ \ k\ =\ c\ +\ \frac{b^2}{4a}$

Multiple Choice

Which of the following is the vertex of 

 $𝑦=𝑥^2+4𝑥+1$  ?

• (- 2, - 3)

• (2, 3)

Multiple Choice

To find the y – intercept of a quadratic function, we let variable y be equal to 0.

• True

• False

Multiple Choice

A quadratic function may have two x – intercepts, one x – intercept, or no x – intercept.

• True

• False

Multiple Choice

 $𝑦=−2𝑥^2−4𝑥−9$  

The y – intercept of the given function is (0, 9).

• True

• False

Multiple Choice

The x – intercept of f(x)= x² -4x + 4 is (2, 0).

• True

• False

Multiple Choice

The x – intercepts of f(x)= x² + 5x + 4 are (-4, 0) and (1, 0).

• True

• False