Which of the following are characteristics of the graph of the quadratic parent function

Mathematics

2 answers:

Stolb23 [73]2 years ago

8 0

Answer:

D. It is U-shaped

Step-by-step explanation:

The standard form of a quadratic function is $y=a*x^{2} +b*x+c$ . The graph of quadratic function opens in the direction of the positive y-axis or negative y-axis, it depends on the coefficient of $x^{2}$ in the function. The shape of the graph of quadratic function is U shaped, because the greatest power of the x in the function is 2.

Hence The shape of quadratic function is U-shaped. It is the characteristics of the quadratic parent function.

Bogdan [553]2 years ago

4 0

It would be A. because it intercepts the x-axis and y-axis at (0, 0) and D. because it looks like a u

You might be interested in

The coordinates of vertices of quadrilateral questions in picture please help

frutty [35]

Answer:

5. (x, y) ⇒ (-x, y) — see attached for the diagram

6. (x, y) ⇒ (x+3, y+5)

7. dilation

Step-by-step explanation:

5. A point reflected across the y-axis will have the same y-value, but the opposite x-value. The transformation rule is ...

(x, y) ⇒ (-x, y)

___

6. A horizontal translation by "h" adds the value "h" to every x-coordinate. A vertical translation by "k" adds the value "k" to every y-coordinate. Then a translation by (h, k) will give rise to the rule ...

(x, y) ⇒ (x+h, y+k)

Your translation right 3 and up 5 will give the rule

(x, y) ⇒ (x+3, y+5)

___

7. Any translation, rotation, or reflection is a "rigid" transformation that preserves all lengths and angles. Hence the transformed figure is congruent to the original.

When a figure is dilated, its dimensions change. It is no longer congruent to the original. (If the dilation is the same in x- and y-directions, then the figures are <em>similar</em>, but not congruent.)