Question

Part A
The graph of which quadratic function has roots of 7 and 3 and passes through (2, 10)?

Multiple choice question.

A)
f(x)=x2+10x+21


B)
f(x)=x2 – 10x+21


C)
f(x)=2x2 – 20x+42


D)
f(x)=2x2+20x – 42

Part B
Select the correct choices to complete the sentence.
The graph of the function has a , 1 of 1.
minimum
maximum

Answer 1

Answer:

C

Step-by-step explanation:

because The graph of which quadratic function has roots of 7 and 3 and passes through (2, 10), so therefore its C

Answer 2

The equation f(x) = 2x² -20x +42 and the function has minimum at x=5 which is f(5) = -8 option (C) is correct.

What is a quadratic equation?

Any equation of the form $\rm ax^2+bx+c=0$  Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

Part A)

The quadratic function has roots of 7 and 3

f(x) = (x - 7)(x - 3)

f(x) = x² -3x -7x +21

f(x) = x² -10x +21

Multiply by:

f(x) = 2x² -20x +42

Plug (2, 10)

10 = 8 - 40 +42 = 10

Part B) From the graph, the function has minimum at x = 5

f(5) = -8

Thus, the equation f(x) = 2x² -20x +42 and the function has minimum at x=5 which is f(5) = -8

Learn more about quadratic equations here:

brainly.com/question/2263981

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