Question

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Answer 1

The equation of function g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The function is given as:

f(x) = 2x² - 1

When the function is translated with 7 units left, the transformation rule is:

(x,y) -> (x + 7, y)

So,

g(x) = 2(x -7)² - 1

A quadratic function is expressed as:

g(x) = a(x -h)² + k

By comparison, the values of h and k are 7 and -1, respectively.

Learn more about quadratic equations;

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