Question

1
type the correct answer in each box. use numerals instead of words.
what is the y-intercept of this quadratic function?
f(x) = -x² + 10x - 22
the y-intercept of function f is ( , ).

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \( y = f(x) \) is the point where the graph of the function intersects the y - axis. On the y - axis, the value of \( x = 0 \). So, to find the y - intercept, we substitute \( x = 0 \) into the function \( f(x) \).

Step2: Substitute \( x = 0 \) into \( f(x) \)

Given the function \( f(x)=-x^{2}+10x - 22 \), when \( x = 0 \), we have:
\( f(0)=-(0)^{2}+10\times(0)-22 \)
First, calculate each term: \( -(0)^{2}=0 \), \( 10\times(0) = 0 \). Then, \( f(0)=0 + 0-22=-22 \).

Answer:

The y - intercept of the function \( f \) is \( (0, - 22) \). So the boxes should be filled with 0 and -22 respectively.