Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three op
1 answer:
The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
The standard form of a quadratic equation is:
y = ax² + bx + c
The graph of a quadratic equation is a parabola.
The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
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Now despite what you may think, <u>1:3 is not 1/3 in this situation,</u> but rather it's "1 equal part to 3 equal parts", which is a total of 4 equal parts. <u>In short, they want the point that is at the 1/4 mark from A to B.</u>
Firstly, how many units apart is 1 to 5 (the x-coordinates)? That would be 4 units apart. Multiply 1/4 by 4:
Next, how many units apart is 2 to 3 (the y-coordinates)? That would be 1 unit apart. Multiply 1/4 by 1:
Next, since from 1 to 5 you are <u>increasing</u>, add 1 to 1.
2 is the x-coordinate of the new point.
Next, since from 2 to 3 you are <u>increasing</u>, add 1/4 to 2.
9/4 is the y-coordinate of the new point.
<u>Putting it together, the point which divides AB into a 1:3 ratio is (2, 9/4), or D.</u>